prosfilaes
Adventurer
because they chuck characters that are completely hopeless they can't enjoy randomness at all.
I see the point about liking a little randomness, but I think there's a point here about the net effect of chucking characters that are "completely hopeless". For many of these groups, running in systems with standard point buy, I think it would be instructive to ask the DM what point buy they would use if they were to use point buy. If the random characters are higher, especially significantly higher, then that, it feels like one of the reasons may be because they couldn't get the DM to sign off on 40 point buy, or even that the DM would use 15 or 20 point buy, thinking himself running a gritty campaign, when actually the characters are the equivalent of 25 or 30 point buy.
I think for some groups, random stats is a way of feeling hardcore without actually having to have low stats. The check would at least be interesting.