Yeah, I like the real rigs on my finger tip, rather than some software device on PC.
My PCs are also doing some other business stuff usually. It will mean getting another PC for SDR, and it gets more expensive to actually get up and running too.
Plus, if want to rely on the software for SWL or Ham Radio, then why not just go for the Apps. on the smart phones or iPads? It is totally free and they do the same job.
SWL and Ham Radio is not about getting grips with the modern techs. or for the marvels of convenience and practicality or lots of buttons and the Menus. But rather experiencing the classic technology of communication as they used to in the early Golden era of our history.
SWL and Ham Radio is obsolete classic hobby by nature anyway
, or keeping with the tradition, as our bygone and senior SWLs and Hams used to do during the golden times of our culture i.e. the 1960s and 1970s. 
There got to be element of challenge, simplicity and foundation in this hobby, or the true pleasure is hollow and empty lost in the thin air. Software is now too omnipresent and convenient for anyone to feel any degree of novelty or fun from it.
Well, I've been on both sides of this fence - A well tuned, Motorola built Collins R-390A was the goto here for many years, and I've owned and used many other high end and many not-so-good receivers too. And most of my ham transceivers from about 1982 on have had decent general coverage receivers too.
But when the time finally arrived when SDR technology achieved a good performance-to-price ratio, I decided to give it a go. First SDR here was a Flex 1500 QRP rig. I found it to be easy to set up and use, and I immediately saw the potential. I don't always jump on board with new technology, but here was an exception. What drew me in from my beloved R-390A et al were these things:
1) No switches, pots, tuning capacitors, dial cords, etc to wear out.
2) No RF/IF alignment to worry about. With the analog radios, almost every time when I couldn't hear a given signal, a bit of doubt would creep into my mind - i.e. is my radio meeting specifications? Did a coil slug slip? Did a capacitor become detuned or go south? and on and on. Sometimes I would grab my trusty HP signal generator and AC voltmeter and test just to make sure. With a good SDR radio, it becomes a non issue. My SDR rigs are all every bit as sensitive as any of the analog radios which I've owned.
3) Filters! I've spent thousands of dollars over the last 40+ years on filters! - 300hz. 400hz. 500hz. 1.8khz. 2.1khz. 2.4khz. 2.9khz. 3.2khz. and more - all for various receivers, and of course none of them were perfect for every listening situation because of their fixed bandwidth and varying degrees of skirt selectivity. With a good SDR and software, I have near perfect brickwall filters, along with SO many other interference fighting tools, some of which simply cannot be done with analog radios. And I'll never spend another penny on filters.
4) Obviously, the panoramic and waterfall displays. I had an old Hallicrafters SP-44 that I used for a bit with my beautiful SX-28A, and then I upgraded to a Heathkit SB-620 which I used with various receivers. Was a treat indeed in those days. Was expensive then, and is still expensive to do with an analog receiver now. A good modern SDR radio generally has a fantastic pan display, with bandwidth and features only dreamed about before.
As a side note, I really don't understand why people assume that a super-duper high end computer is needed to run an SDR. In my experience, Fooey. I run (2) RSP1A receivers simultaneously at up to 10mhz bandwidth on an old Dell Optiplex 360. Works great, no dropouts.
Regarding using an SDR from a cellphone, android tablet, etc., no. Not the same at all as having the SDR hardware right in your shack and connected to your own antenna(s) and computers. I rarely use the online SDR receivers because thats where I draw the line - if the signal isn't available to MY SDR in MY shack then I don't want to "cheat" to hear it. Just doesn't feel right. I couldn't cheat that way with my old R-390A, so I guess that I'm stuck in the past, there.
I could go on but the point, I think, is made. I don't want to turn this into an SDR vs. Analog debate though, so I will offer up my choice of a dream radio of the analog persuasion too

.
So if I could buy any receiver that I wish, I think that I'd go with an Icom IC-R9500.