I follow that rule too, as far as possible in London(and it looks like it's almost finished), but I still peel it, it's just better in every way and only takes a few minutes with the trusty Rex peeler. The principle advantage is that the whole stalk takes the same amount of time to cook, though that only applies if one simply boils it in very abundant slightly salted water rather than uses some of the stranger methods, I've had plenty of proudly presented steamed unpeeled asparagus this season which is soggy and grey. There is also a lot less waste as it is rarely necessary to discard the base.