Now, if this was an explicit user-GPT interaction, you could prompt the GPT with "hey, I'm Muslim, what can I cook with this stuff?" or "hey, I'm lactose intolerant, what else could I buy?". You do need to trust the OpenAI provider, but not the fridge.
Instead, the fridge automatically talks to GPT. So if you want to avoid "dumb" suggestions you wouldn't be able to follow, you would have to tell your fridge you're Jew or Muslim or lactose intolerant or diabetic. Don't you see an issue with this?
I'm not "tinfoil hat" paranoid, I don't think people are out there to get me. But a certain dose of skepticism when it comes to data usage should be healthy, especially when many companies have been known to mess up this aspect (from Cambridge Analytica to Roomba employers sending pictures of a woman on the toilet to Facebook, and much more). You cannot avoid this 100% unless you go to extreme lengths, but if you can avoid sending data to one more company, why not?