Yep - there's nothing you can do to control his drinking, even if you try hiding the bottles. Well done to you for recognising the signs; not just the over-indulgence but the lying about it, and the propensity for this in the first place.
It's also important to remember that an addict's first love will always be the drug of choice; in this case it's alcohol. You will always be secondary to that if you stay. There is NOTHING, literally nothing, you can do to change his behaviour - though if you read a lot of the posts on this board, many people spend years trying. There are few things more crazy-making than trying to control what you cannot; in this case someone else's feelings and behaviour. In Alanon we talk about the 3 C's: You didn't Cause it, you can't Cure it and you can't Control it.
The dependency IS likely to take over his life unless he decides to do something about it, which seems unlikely given his immaturity and family background. When I look at my family members I despair, but they're free to make their own disastrous choices - as is your boyfriend.
As others have said, read posts on here to see the kind of scenarios you will face in the future if you stick with this guy. In any relationship, it's absolutely crucial to look at the person AS THEY REALLY are - not looking at their potential, or the person you'd like them to become - and ask yourself if you're happy with that. If so, go ahead. If not, it's a relationship you shouldn't be in, because you can never change someone else.
You are not living together at the moment. You have no joint responsibilities. You have no children together, and no joint debts. Again, have a look around these boards at the situation of members who are still involved with their alcoholic partners for all these reasons, and ask yourself if this is how you envisaged the future of your relationship.
When you think of your hypothetical ideal man, do words like: 'drunken, lying, volatile, unpredictable and irresponsible' feature on your list?
It will always be your decision as to whether you part company or stay with him, in just the same way that it's his decision whether to drink or not - and there's plenty of information on here that will educate you as to the future you face if you stay together.