This could be abused. The reward is too much desirable for the apparent cost, and that cost could be mitigated for lesser cost than the reward, there's a lot of advantage to use it. Hell, you could make super rookies out of that abuse.
You didn't specify how much alcohol you've need to drink to activate that trait, smart ones could find the least amount alcohol needed to get that working. Logically, the debuff would last as long someone is drunk, the least drunk you are the faster it disappears. The faster it disappears, the more you could do that in a least amount of time.
Imagine this: rows and rows of low leveled schmucks ready to level up their base level stats. They're willingly chained, and specialized technician goes and gives out distilled alcohol. The best would be a vodka. They drink whatever amount that makes them drunk (50ml of 80% probably, given their youth and low level and ratio of mass to ethanol bla bla bla), and earn 1 stat or become mindless. If that youngling has that 1 stat, he drinks again, because you didn’t specify the cooldown of that trait, so they could drink again after achieving the stat bonus until they become mindless too. Because they can't do anything, mindless only can talk, so muffling them or having earphones is advised.
If every stat can be upgraded, it is beneficial for low levels, because being a super rookie means you could specialize faster due to having enough stats for whatever unique classes you want have. More stats you have as a low level, the more paths to go to you have. Hell, even if faith can be added as a point, it will make them better god channelers than the other races lmao.
So, if alcohol lasts for 6 hours in a youngling after getting mindless, give or take, you could have up to 0-24+++ stats getting upgraded each day. Make it last a year, and you have at least 365 stats that could be never removed. Even if they're non combatants, it makes them a lot stronger than other race peasants. The better is the populace, the better is the society they live in, and therefore it's advantageous to the ruler to make such mandatory level upping camps.
And if that 1 stat upping is really that meaningless, then why add it? The more disadvantages something has, lesser the action that makes that disadvantage activate will happen. Your satyrs will be sober as fuck, because being mindless is dumb. You now either now need to write a giant system framework just to make it coherent, or you just don't include it at all. Even as a gag, it will be tiresome after 3rd repetition of it.