Re-doing our kitchen now. My initial suggestion did not go over well with the SWMBO.
I didn't want a cooktop. Just a slightly lower counter (baler's height) with 20A outlets in the back where we can plug in individual induction stoves, griddles, etc... basically re-configurable to whatever we are cooking for the day. Very rarely are we using more than 2 burners and on those busy holidays, we can relocate the stoves to spread out. IMO, it would have been far more functional but it my wife wouldn't have it.
I must admit I am not that surprised, but there is a high end version of your idea I think I saw a nytimes article (and we had this conversation as well, whether to go your route (my wife is an architect)) and regain valuable counter top space (we have an older house). I could not find that nytimes article but hunting around a bit I found this:
I think in practice though that its going to get lots of negative feedback because a regular cooktop is expected in kitchens and anyone wanting to buy your house in the future will likely negatively react. I do love the idea though!