If a fridge maker wants to sell you a cheaper fridge subsidized by ads, I don't think that's a problem as long as tracking is optional.
Amazon has for years: Kindle with ads on the lock screen is $20 cheaper than without: https://www.amazon.com/All-new-Amazon-Kindle-Paperwhite-glar...
There used to be TVs that don’t have ads or tracking, but that’s not the case anymore (or so I’ve heard; haven’t bought a TV personally yet). I don’t see why fridges would be immune to that.
On other hand with TVs unless you are doing just a monitor, you need something to control it. And I mean like digital TV, selecting input, possibly show some overlay or controls. And at that point just slapping a computer in it is lot faster development cycle. And then you might as well support streaming services as general population seem to want those.
The smart part of a fridge isn't inherent to the technology necessary (unlike DRM'ed TV streams and apps). In fact, bolting the display (or ice maker for that matter) into the door makes it conduct more heat and therefore perform worse. I don't know about other economic regions, but here the energy label is quite clearly visible on the front of every fridge, so they can't hide the power waste either.
I have yet to see a smart fridge cheaper than a similar normal fridge. Partially because manufacturers seem to market this crap like a luxury feature.
The cheapest smart fridge I can find on a reliable web store, at least here, is three times the price of a normal fridge (€1500 vs €500). Even in the huge "American style" fridges, there's a sizable price difference (€1500 vs €1000) before you get to the first smart fridge.
Consider - I vehemently do not want a computer screen in my vehicle. I specifically bought a particular model in 2019 without one. If I want to upgrade, I am unable to exercise my preference though, as new cars without screens are no longer offered for sale.