After owned a few radio's in the past 50 years in this hobby I will just go after the past 6 years, owned two 7300's and two of them DON'T EQUAL a 7610, they are a dam good radio for a Kilobuck but the 7610 is better. I owned the 7610 for almost 3 years, I am not a Icom, Yaesu or Kenwood Fan boy cause going back to 2010 I built a K3 so I also have learned don't always buy a radio cause its high on Rob's list but the better radio's do show there stuff at times when the bands get extra packed on weekends or during contest times.
The 7610 is a nice easy radio to use except when you wanna control both RX sections at the same time cause you gotta toggle back n forth with certain controls which is a real PITA at times. The FTDX101D you have two sets of controls so its a none issue plus it alows you to use them more independently. The Display is a little nicer on the 7610 but maybe cause I owned two Icom's I was just used to it more but the 101D's display grows on you cause its real time. As far as talk power Yaesu has always had that meat grinding DX audio were if you wanna cut the mustard on 20m its more what I call a real SSB rig were the Icom is more mellow sounding, mind you not bad but you cannot make the Icom have the articulation of the Yaesu.
In 2020 I sold the backup radio which was a 7300 and bought the FTDX10, for 9 months I would go back and forth and it became a little more than a backup rig cause I really liked the way the RX could cur slices away on 20 or 40 meters when the band was packed with signals, I would go back and forth between the 10 and the 7610 ending up on the 10 more times then not. Then in 2012 I played a little in the CQWW SSB DX contest and there was a difference between the two, the Ten had taken first place as far as cutting threw the qrm. I did play around on CW and found I liked the Ten just a tad better cause the DNR and the notch on the Yaesu is IMO just a tad better.
I sold the 7610 in November, ordered the 101D and sold that FTDX10 cause I really didn't think I needed a backup rig but someday I might pick up another Ten cause it was that good of a rig.
The 101D has one of the best RX section's I have even used, the Ten spanked the K3 by allot but this radio is in another class, I don't do FT8 so all my contacts are SSB or CW. All the controls work and work really well, shift, width, notch, contour, APF DNR all work outstandingly well, the only thing that I could see some improvement is the NB but for certain noises it works great others so so. The sensitivity of this radio is well balanced and believe me you will have those Icom fan boys tell ya that the Icoms have higher sensitivity but you don't need it on HF and especially on 160,80&40 meters were I never run the pre amp. When I owned the Icom I would run 10 to 20db of attenuation the Icoms were always way to sensitive even without the pre amps engaged.
That's my 2 cents but your mileage may vary but I really enjoy the 101D, control layout, ease of use even when you wanna use both RX sections, everything works, has the DVI out for a display and if you want a Flex type display you can easily add a RSP Play SDR for either a third RX or just for a real nice pan display with HDSDR and Omni rig, check out my QRZ page and you can see the Yaesu display on a dell 24" monitor or the display on the 41" TV on the wall using a very easy hook up separate SDR.
One more thing the 101D has a VC tune on only one RX were the Icom uses Digi Select, these are both RF front end preselect circuits, the one on the Yaesu is far better cause it will knock down in band signals were the Icom is only good for anything about 300 to 400Khz away. If you wanna operate FD and want one rig on CW and the other on SSB on the same band the Yaesu will do it with ease or even at a multi op contest station.
Yaesu came out with there radio almost a year and a half after Icom did, it shows the planning on certain area's way ahead of the Icom and the 101D/MP was more designed to compete against the Icom 7851.What ever you decide good luck and enjoy.
Last thing the DNR on the Icom is like an adjustable hi filter on your old stereo receivers, the DNR on the Yaesu is allot more effective and they both have some digital artifacts but IMO the Yaesu does a better job under marginal copy conditions.