So I’ve been trying to come up with a way to have a second dishwasher in my kitchen without major renovations. I don’t necessarily need it to roll, but the unit will sit probably 3-4 feet away from the sink. I seen this cabinet on IKEA for a reasonable price, it doesn’t look Like there’s a countertop but I’m sure something could be rigged up. The question is will it be heavy enough to hold the dishwasher upright with the door open without anchoring the cabinet to the wall?