I wash anything I make before I gift it to someone. However, if you previously washed it, and have no cats or dogs or other furry pets, then it's fine to give it to them unwashed. I use one of those sticky roller things to get threads off. I suppose you could use the dryer.
I agree that a quilt never looks quite the same after it's been washed - that is why I wash quilts before gifting them. At least the receiver will know what it is supposed to look like instead of thinking that they ruined it.