Whilst RA is throwing money at them they are better off, but he's under no obligation to continue doing so. Should he stop, their huge wage bill would cause them massive problems very quickly - especially with their comparatively small supporter base.
IMHO, they're better off full stop. Their brand has grown enormously under RA, and so has their trophy count. They are in a way better position than when RA came in. In those days we had more trophies than them, and more money in the bank. We also had a bigger fanbase. Now admittedly a lot of Chelsea's fanbase will disappear when they stop winning things, but as it stands they have a bigger global fanbase than us now.
Moreover, where I was brought up in England, there were very few Chelsea fans at my school and in my town. Now lots of youngsters are to be seen wearing Chelsea tops and quite a few old uns have suddenly discovered their Chelsea 'roots'. Some of this will die away, but some of those kids will stay true to their childhood club and some of the old uns have bigged up Chelsea too much now to go back into 'hibernation'.