Then there are the semi-elective things like healthcare, education, home security. These kinda dont work for the whole society. The rich are thus paying for their own out of pocket. But they are also paying for the semi-working system for everyone else.
I think introducing a wealth tax just to balance the books without rethinking who and how accesses public funds, will just end with the rich leaving. Some may say good riddance, but the UK budget is now beyond creaking and heading for collapse.
Oh and when I say "the rich", that probably covers many people here. IIRC earning 90k per year puts you in the top 1%. A 10-15 year experience NHS doctor is in that bracket.