Assuming that you actually get it to work and that you provide, at best, mediocre diagnostic (which is already really difficult to make), this is a regulatory nightmare and a plain hazardous tool to exist.
I’d even say that people cannot make decisions based on statistics (I doubt that most can even differentiate between anecdotal advice and scientific evidence) that’s why physicians make these decisions for them and if ever a tool is allowed it would only be available for physicians.
For anyone interested in making this sort of tool, the enthusiasm doesn’t last a day or two after talking to a lawyer for a few minutes!
Putting aside the technological requirements of the product, and the big investment an individual would have to make in order to carry this forth. Your premise is that there’s a crisis of loneliness and the solution is to have people live with each other. I just don’t see how that’s evident.
Furthermore, you talk about AirBNB (stands for airbed and breakfast) which started as making a bed (airbed) and breakfast for a guest, a stranger, in your house! most of the interviews I read/listen about those guys (I think Brian Chesky it’s a quite interesting character) they had not idea about what they were making at the beginning, now they have the beneffit of hindsight and the product is definitely not based on house-sharing.
I think more of what AllAmericanBreakfast talks about is closer to a solution to the “lonely” crisis
Besides that, I do see value in making something easier which now is somewhat hard, although I don’t think the defining feature of the product would be to mix people who like the same food, game, etc...
But you do propose interesting features of a product, I do see a lot of value in this:
Or fixing the problem of community in a broader sense.
But if you are not willing to jump in why should anyone else bother? Startup founders who are passionate about what they make are the most important predictors of success, no one who is browsing Lesswrong or the Effective Altruism Forum will suddenly find their passion and make a billion dollars of it.