It matters insomuch as public perception and worldwide adoption of bitcoin matter. If we are striving towards a bitcoin standard, it matters a lot.

To me personally and most bitcoiners with true conviction and low time preference, it won't matter in the long run. Like I say, game theory will win out. But it does matter in the short term and to the general public.

The existing tradfi exchanges and msm control much of public perception. If they push normies to try and believe anything but consensus bitcoin is bitcoin, that will absolutely damage some of the progress bitcoin has made to date when it all eventually falls apart or some scandal/rugging strikes.