If a processor swap is as simple as it was for the one fighter when CW was demonstrating to Faye that the AIs processors aren't damaged (3008)...
I think that you're over-interpreting that strip. Nothing was said about body-swaps, only that the CPUs & core drives are pretty hard to damage if they're in the appropriately hardened module. Nothing was said about how easy it was to install it into a new chassis with all the issues about driver software and getting used to a new sensorium.
All that is granted. I can still see May, in her rush to experience the carnal, trying exactly this (if you're gonna get a sex-doll body, might a well get one with a
bomb rack, etc.), even if she has to keep two boot records and duplicate registries, until she figures out what she wants to be. Mistress to a rich songwriter might fit her self-concept for a while... Though I can't see her doing that for long, given her reaction to the virtual maids costume. And think of the internal conflict this could bring Bubbles and Momo as they adjust to May the golddigger. And everyone after she decides what she really wants (poor Sven) and goes off to get it.
Or May could keep many boot records and enjoy swapping bodies to keep Sven pleasurably occupied... One for going out dancing, one cleaning the place, one for sexy times, etc.