After a certain point, alcoholism is no longer a choice or preference, it's a debilitating disease. And before that point, it's frequently self-medication for untreated mental problems. Consider this: alcohol is the only mood-elevating drug sold freely, of course a percentage people will jump on it if they have massive problems.
Not going to criticize the Finnish system as I know nothing about it, but probably the only way to get to those people is give them homes, food and clothing and try (again and again) to get them to reduce alcohol intake and/or get psychiatric treatment - and accept you won't be able to get all of them to accept that.