So then, much as Firoentina still exist, Napoli still exist, Wimbledon still exist... we can still exist.
Nuneaton go through chameleon-like shifts every few years. They've been Town, borough, Town. Don't be surprised if they end up Borough soon enough... in much the same way as VS Rugby have borrowed an old club's name lately, or Bradford Park Avenue. The latter two are far more of a sleight of hand, FWIW, as neither has a direct link with the original club (bar fans that crossed over) and weren't original start-ups. Newport County are back in the league, having reclaimed their name, their place in the town, their place in the right country(!) It wasn't easy for them, but it happened.
Coventry City can still exist, even if it has to be known, officially, as Coventry City Care in the Community. It's still Coventry City.
Much as Otium Entertainment Group is Coventry City.