even if it offers limited immunity to Covid itself.
I read your first post as saying that one dose of the vaccine was not particularly useful in protecting yourself against covid, which bothers me, because playing down the usefulness plays into anti-vaxer's hands. (Which I don't see you as, given the fact you've had the vaccine)
Protection against hospitalisation is not immunity.
This is true, but I don't see what point is being made?
From JVT in this evening's presentation:
Both vaccines are 60%+ effective at preventing ALL illness 1 month after the first dose.
On top of that, after 1 dose, they are reducing hospitalisations by 80%, and deaths by 85%
*death reduction stats only currently available for Phizer.