I haven’t seen that advice but DD recently had a new kitchen from one of the big suppliers and her cutlery drawer is under the induction hob on the island, hidden inside the upper of the two deep drawers. She uses those drawers as her larder, even for eggs and bread as well as dry goods and jars, the kitchen design is frankly terrible and I’m baffled at the layout they suggested (and that she accepted), but of course I know nothing and they’re experts!
I haven’t noticed a problem with the cutlery getting hot, don’t induction hobs only heat the pan? Steam rises so I don’t think that would be an issue?