I (and I'm sure many others) would gladly take an option to provide a whitelist of acceptable licenses.

I count 97 (https://opensource.org/licenses/alphabetical), but point taken.

Maybe there should be an organized effort to make some sort of compatibility matrix for all the OSI licenses...

Gentoo's package management system has neat automatable way to handle package licenses. See https://www.gentoo.org/glep/glep-0023.html