I don't think there is an easy technical way (even if there were a will) to make an exception for Invidious users who have Youtube subscriptions. Invidious doesn't even use the Youtube subscription model in the first place. I'm guessing it's the instances that are blocked, not individual users using those instances.
The hypothesis that Youtube Premium subscribers might be using any given Invidious instance, so it's a bad idea to block it, is rather weak.
Generate an API key for premium users, add auth-only API to pull videos, user pastes key into their client of choice.
Even easier, one click oauth to automagically give the key to the client.
It's trivial.
Yep, I think people have amnesia about the last 10 years where our API rights have slowly but surely been taken away and have a lack of imagination for solutions so fallback to authoritarian narratives.
API key so premium users can use invidious makes total sense - it makes creator revenue attribution more accurate also.
As a paying user to any service I should have the right to interop with whatever client or third party service I want.