I’m able to get Python 3.4.x - 3.7.x builds made on Ubuntu 18.04 to work on Ubuntu 19.04 and Debian (Unsure which version; whichever comes with WSL). Note that this is not true for builds made on Ubuntu 19.04: Those fail to work on each of the other two. Unable to build with optomizations for 3.6.9 and 3.7.4 for some reason; the former terminates with an error, and the latter takes (projected) on the order of days.
Perhaps it’s worth creating an official 90% solution, where python.org hosts Steve Dower’s binaries for Windows, Debian/Ubuntu binaries built with an OS that supports the widest version range, RH, and Mint as well. I suppose the crux of this is “what is the use case?”. I have a specific one in mind, but perhaps this isn’t worth it if the demand isn’t there.