i don't cut strings... i would if i thought i should in a specific instance, but it's not a "rule." like @anightintunisia, i've never had issues. on the rare occasion that i might remove a set and re-string on a different ax: i have almost all the advantages of a fresh set by not cutting them.
i'm thinking that if you don't cut strings and you have "slippage" you're probably not winding them correctly. i also think the "slippage" thing is more of a fear than a reality since i never have the problem myself. of course, i could be wildly lucky.
there are lots of TB herd behaviors posted as "best practices" that i consider grand BS, and cutting strings is one of them. i don't think it makes any difference except in the minds of those who peddle the practice as "must do" and then 'shame'/mock those who don't follow suit...both behaviors are lemming-esque. IMO. YMMV. FWIW.