Simple answer is, alcohol consists of empty calories which will hinder your recomp/fat loss goals. There may be a way to work around it, especially if you are limiting yourself as you say. That being said, it may also negatively effect your recovery from training.
Not to preach, but you said you used to drink too much and now you have cut down. If you were a binge drinker in the past and you find it a bit of a struggle to limit your drinking to a couple pints a couple nights per week, then it may behoove you to cut out drinking altogether. If you recognized you had just gotten into the habit of drinking all the time and cutting back was no harder than changing habits and patterns (as opposed to physical withdrawals), then no worries.