Heretofore, people have just thrown around the term "resonance" without saying exactly what they were talking about. It appears that you are citing a specific resonance: namely, the resonance in the cantilever of the cartridge. This is something that I can work with.
Tapping on a Rega to find resonance points is one thing, tapping on a Triplanar is plain foolish and will not reveal the differences in nuance that these tips address. The vibrations created at the cartridge are entirely different from the vibrations you created by tapping on your arm. Your empirical observations are completely irrelevant to what happens in the cart/arm during playback. And let's not forget that the particular cart in use will have an impact on the vibrations the arm sees.
From what I understand, concern about cantilever resonance is a legitimate concern. However, the way that you address that concern is to know what you are doing before you buy the cartridge. For example, it is not a true statement that the trough in the Triplanar is "vestigal"; if you use a low compliance cartridge with the Triplanar you can have problems with resonances in the cantilever. That was why the trough was put there - for use with low compliance cartridges; and there are companies (like Clearaudio) who still make low compliance cartridges. The thing to do, then, is to look at the specifications for the cartridge to determine where the resonance is likely to be if you install it on a Triplanar tonearm. As I understand it, you typically want the resonant frequency to fall in the 8-12 Hz range.
Now, if there are other sources of resonances to which some here are referring, where the source or potential cause is not articulated, then I can't work with that. But what I do know, is that it appears to me that there is a fair amount of effort involved in removing the trough from the Triplanar. I don't know why I should undertake that effort other than for the fact that I read some comments from people who proclaim that it will make a difference and that, somehow, if I can't tell the difference then the fault lies in my hearing or in my system. I make no personal statement about anyone making such assertions, but the way that I think about things, it's hard for me to work with these kinds of claims if I don't understand the underlying physical phenomenon that I am trying to address. My training is in electrical engineering and not in the arts, so I think about this stuff differently.