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Well, even in case they agree, they might not be totally aware of the consequences. It's an interesting idea for sure, but I'd add a safety mechanism: If the player is really unhappy with his character, he is free to replace him once, keeping his XP and wealth (with different items).
You're right.
I always give players the freedom to replace their characters once in the first four or five levels or so. That's a given even if I didn't use this randomized system.
OK, I'll get in on it.
Attempt 2:
Str 14
Dex 17
Con 14
Int 11
Wis 9
Cha 15
Hm. This is not going to be a cleric build. I think this leans towards a ranged martial sort, or possibly a less than wise rogue. (Watch me fail all those Will saves!) Or maybe a ninja, with that Charisma hanging out there. Or just go sorceror and take advantage of that Dex to blast rays. Sorcerors are good at blasting, right? :)
Attempt 7:
Str 10
Dex 18
Con 13
Int 13
Wis 15
Cha 12
Ranged cleric? Archer ranger? Rogue who really has it together?
And yes, those were the first two 'legal' characters I made under this system. Reminds me of when I'd play computer RPGs that 'rolled' stats ... and rerolling until I got the 'good' ones. I've even done it fiddling with PCGen. (That's what I used to do the rolls.
How I did my was having them roll stats one Session 1. I told them there were on an island and have different tasks to do as a group. They have to roll 4d6 and drop the lowest to determine how well they do in each task. If they don't like the result, they get to re-roll, but each player only get to reroll twice and must take the re roll even if it's lower. It was fun for them because it wasn't just rolling for stats, they were actually doing things on the island. They felt like they didn't waste their time rolling stats, instead they are already in the world doing things.