You have already stated that you thought op amps have no sound (are neutral). This has been refuted by hundreds of posts all over the net. Let us hear your story....if you think I am making up a story about you.
Opamps: the more important aspects are the open loop gain and Gain Bandwidth Product. These days most opamps have enough of either that as long as you don't ask more than about 20dB of gain then they will be neutral. Ask more and their 'sound' comes out. Older opamps from the 60s and 70s in particular weren't so good- so if repairing older guitar effects pedals you can mess up their 'sound' using newer opamps.
How GBP works is if you don't have enough, feedback falls off on a 6dB slope. When the feedback falls off distortion goes up. So when designing opamp circuits its a good idea to know these specs and their implications; otherwise expect colorations. Obviously 'hundreds' of posters are either using older opamps or don't know what they are doing.
none of my customers of my modded class D amps for 20 years have ever had a problem....
That you know of...
A lot of people new to class D are concerned about its noise interfering with other equipment. When you don't test, you don't know if your mod did damage on its way to trying to get the amp to sound better. I'm not saying you can't make an amp sound better but I am saying that if the amp injects more noise on the AC line or simply radiates more thru the air, it can interfere with other parts of the system, the TV in the next room, that sort of thing. I don't need a faraday cage to live in because we tested our amps...
Having built zero feedback class D amps (that is where we started) the thing we noticed is that as you have said, everything makes a difference since there is no correction. Noise is really hard to control; tiny changes you could hardly see in the board can have audible effects on the noise floor of the amp (as heard through the speakers). So I know Peachtree spent quite a lot of non-trivial time getting it right. They had to have been really careful about specs to make sure the parts they were using weren't shooting them in the back. If I were modding one of those amps, I'd want to know everything about it and have talked to the manufacturer (with whom I'd want to be on very good terms), before digging into their work. This might be because I respect how much work goes into the design, the designer that has done the work, and brought home the bacon.