I am, of course, on the side against this proposal. I also want to add this would completely invalidate the point of races, karma races moreso. "Oh, you spent 30k on vox? Too bad, you now have a random chance to play it instead playing what you worked for"
Heck, karma in general would become obsolete. I, personally, struggle to identify 16-bit spessmen without a unique name attached to them. If I see civilian A saying some snappy dialogue in the bar, unless they have a name I can actually remember, I'll probably mix them up with greytide B. And if I don't give them karma right then and there, good luck finding Mr generic among the swarm of other Mr generics on the shuttle.
In short, no.
EDIT: Ever played D&D? The original (and best IMO) roleplaying game? Yeah, you don't randomise your character every session. You build on your character and each others. There's literally a bonds section on your sheet. The game would die pretty fast if, instead, you had to go from cowardly but charismatic rogue to boring, calculating wizard, then dumb, hillbilly barbarian. You would only remember and bond with characters because you can physically see the people playing them. Literally every other RP server I know, not just for ss13 either, focuses on having your character as one you build on and interact with, not randomly assigned whenever you get on.