Martin,
1) I think we are both saying the same thing, or very similar things, in two different ways....
(And, thank you for pointing out something that I should have done.
I should have mentioned upfront that my phrasing / wording was "USA-centric"....and, based on some-what older-school terminology.)
This also points out that we ("yanks") and you all ("brits") sometimes find ourselves separated by a common-language. hi hi
2) As I was trying to simply point out the history of our receiver architecture and where we have ended up....I tried to steer clear of mentioning specific brands and specific radios.
Except for "accidentally" mentioning the TR-7
...and, when referencing noisy oscillators I couldn't keep from mentioning the KWM-380...As for the new Yaesu's, I think I just left out the complete descriptor when I mentioned those specific units....but I
did mention it in the preceding paragraph (that you did not quote)....
So, I'm going to add this descriptor in there now here (in red) so that you'll see it...
g ---- And, then we have manufacturers that answered the call of "one-up'ing" the competition (in regards to HF receiver performance AND features!), and it was clear that the "best-of-both-worlds" was a "down-conversion" super-het with IF-DSP (particularly one with low-noise VCO's, and excellent first-IF [roofing] filters, etc.)......along with a direct-sampling-SDR receiver built-in (so, they'd have their band-scopes, waterfalls, etc.), and that brings us to the current (2022) state in amateur HF receiver design / marketing
(a "down-conversion" super-het with IF-DSP, with low-noise VCO's, and excellent/narrow first-IF [roofing] filters....hmmm, what's that old saying, "everything old is new again!"....sort makes me smile that we're coming full-circle now!
just adding some new-tech abilities to old-tech designs/architecture!
)
3) So, when you're looking at different radios (whether a more conventional "super-het" like the '590SG; or a full Direct-sampling-SDR like the '7300/7610's; or a "IF-DSP-super-het" with an SDR handling the bandscope, etc., like the '101d/101MP...or especially if you're looking for a bargain and buying an older radio!) and trying to figure them out, and trying to figure out why/how/which receiver is best for your application, now you'll be able to figure out what all these various names / abbreviations / acronyms actually mean, and how they work....all on your own! 
3) As for the specifics / details...let me be a bit more clear....
I'm discussing using ham radios for analog comms....like SSB Voice, etc...
a) Here on the western side of the Atlantic the term "Direct-Sampling SDR" receiver describes a receiver that takes the RF input from an antenna and sends this (usually thru a low-pass filter or multi-mhz-wide-band-pass filter) directly to an Analog-to-Digital converter, and then the signals are processed digitally (known as DSP = Digital Signal Processing)....
This means that all filtering, noise blanking, noise reduction, etc., is done in the digital domain, and then when that is all done, the signals are demodulated (digital-to-analog conversion), with resulting audio then being amplified and sent to a speaker or headphones, and then to your ears.
Over the years, this term "Direct-Sampling-SDR" has been shortened / abbreviated to simply "SDR"....
(not sure if this is acceptable in the engineering labs, classrooms, etc....but, for better or worse in our world of ham radio here in the USA, it has become accepted....so, an "SDR radio" is one that takes the RF direct to digital domain, and then converts it directly to analog audio ---- a "Direct-Sampling-SDR"...not sure we'll ever accept the marketing BS of "hybrid-SDR", but I hope not.)
b) And, here on the western side of the Atlantic the term "IF-DSP" receiver describes a super-het receiver (which could be single, double, or triple-conversion) that takes the RF input from an antenna and (usually thru a low-pass filter or multi-mhz-wide 1/2-octave-band-pass filter) sends this thru one, two, or three stages of mixing generating various intermediate frequencies (IF), where much tighter filtering is done (this is where the "roofing" filters are placed), as well as intermediate amplifying....(and also, in some designs, where analog-noise-blanking is done)....
And, at the final intermediate stage an Analog-to-Digital converter is used, and then all the signals are processed digitally (known as DSP = Digital Signal Processing)...this means that all final filtering, noise reduction, usually most noise blanking, etc., is done in the digital domain, and then when that is all done, the signals are demodulated (digital-to-analog conversion), with resulting audio then being amplified and sent to a speaker or headphones, and then to your ears.
{in some "IF-DSP" radios they use only one DSP module (some use an additional DSP module) to drive a bandscope or waterfall....but, in many of our current high-end production IF-DSP radios a Direct-Sampling-SDR is also inside this radio, and this is used as the receiver for the band scope, "3rd receiver", etc.....
But, the received audio that comes out of the main receiver, comes out of the main receiver DSP module, which is fed from the upstream IF stages of this super-het receiver.}
I suspect that on eastern side of the Atlantic, this "IF-DSP-Super-Het" receiver is being called a "Hybrid-SDR" radio....when on the western side of the Atlantic it's being called an "IF-DSP-Super-Het" radio?
So...
So, Martin, I think we are both talking about the same thing....just a bit of language / terminology confusion! (and, my not including all the detailed descriptors in my final summary sentence)

We are talking about the same thing....I'm just not using the same phrasing (not using what I consider marketing BS = "hybrid-SDR"....'cuz it's an IF-DSP-Super-Het, not a "Direct-Sampling-SDR".)
73,
John, KA4WJA