I’m not very up to speed on TID and TIM
They are the same thing, usually expressed as TIM. Its caused by large signal levels (like a transient) causing distortion at the input of a class A or AB solid state amplifier due to an excessive capacitive load on the output of the input stage, essentially shutting down the feedback. Usually the input stage is a differential amplifier pair of transistors. The problem was solved by degenerating gain in that stage. This vastly reduced the distortion caused by the capacitance of the next stage.
IOW, in a nutshell, its a problem that showed up when higher amounts of feedback (applied to one side of that differential pair) was being first used in amplifiers of the 1970s and early 1980s. It took a while to sort out that all you had to do was decrease the gain of the input stage to fix it, and do something about that pesky input capacitance of the stage succeeding it.
Its not a thing when it comes to class D since the topology is completely different.
You can read more about this in
an article written by Bruno Putzeys. Start at page 10 if you want to read about TIM. He makes some fabulous comments near the bottom of page 14 regarding how feedback got a bad rap. I can add to that one of the problems that exacerbated this was the feedback used was being applied to the cathode of the input tube, which is non-linear, thus distorting the feedback signal. Of course it won't work!
That's not the fault of feedback. Control theory is well known and works fine in other fields of endeavor. So if you want it to work in hifi, you have to do it right. This is an excellent example of how tradition can cloud our minds; because everyone did it this way for so many decades, it must be the way to do it. Right?
Right?? But it isn't.
If you want feedback to work, you have to apply the feedback in such a way that it doesn't get distorted before it does its job.
A simple enough concept but people's minds get clouded by tradition.
So in a tube amp the feedback should be mixed with the audio using a divider network at the grid of the input tube, just like how you would do it with an opamp; IOW treating the amplifier circuit as if its an opamp (which some solid state amps actually are). Not rocket science but you know, tradition...