I think the recruiting problem in technology in general is that programmers don't meet and interact with enough different types of programmers in work settings, so they really don't know what they want or what they should be looking for.

I'd suggest everyone start doing this instead:

For anyone who meets basic criteria / filters, hire them at least part time, and put them to work. If they don't make the cut 3 months later (based on some objective criteria) let them go. Then after you've done all your recruiting like this maybe 1-2 years later evaluate what your team consists of.

It's not even a question in my mind. I'm not 99% sure. I'm 100% confident the team will not look like the recruiting team originally envisioned it would look before they started hiring.

EDIT: And I'm 100% confident those teams will consist of an overall better quality of engineer, and putting out higher quality products, than they would've ended up with if they stuck with trying to find what they believe to be the right "culture fit" or some concept of what a "prototypical engineer" is / should be.