A.Mike Barrett responds: I do it the same way as that countertop installer, and have never had any problem. The metal tabs on top of the dishwashers are usually far enough back that there's no risk of creating a stress crack at the edge of the counter. I nearly always install 1 1/4-inch-thick counters. On thinner, 3/4-inch counters, we double the front edge thickness and carry it far enough back that we can safely drill into that.
If you're worried, you could try using a bead of silicone instead of drilling. Wedge the tab into place over the silicone until it sets up.
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