Nothing egregiously wrong, I suppose. But particles of food, spilled milk, etc. can find their way into the ice box, and I'd just as soon keep that both out of the bilge and on the path to the bilge. With the pump I simply dump the liquid directly overboard via the sink. Then, when I give my ice box a good cleaning after a trip or two, I can dump that grungy water overboard via the sink as well.Anything wrong with draining to the bilge? Seems simpler, but maybe I'm missing something.
I guess it's analogous to having a shower sump vs. having the shower drain directly into the bilge, i.e., to avoid introducing unnecessary organic matter into the bilge.