There's usually not much about random chargen that precludes having a discussion, forming a coherent party, and fleshing out a character to work with the group, because actual history and attitudes of a character aren't often part of the randomness.
I've seen plenty of people deciding to design characters that don't mesh at all with point buy or other systems, I don't think it's any hedge. Ultimately you either get together and make compatible characters, or you don't.
And, Kiero, 'unseemly rush'?
Every time you embed pointless value judgements like that in your speech, you come across as an insufferable, blinkered asshole.
Probably farting in the wind, since people have been chiding you on this for the 5+ years I've read your posts and you are unwilling/unable to change, but PLEASE STOP DOING THAT.