I believe Alpine is GPL licensed. Curious what companies are using Alpine? What ramifications does this have on the licensing of a micro service running in Alpine.
Besides that, for an application only the licenses of libraries that you link against are relevant.
tl;dr: That's not how licenses work.
There have been some interesting questions about packaging Ubuntu and their terms of use. I always found their terms of use odd, because they are basically reinstating trademark law inside a software license.