Not trying to be pedantic, but you literally asked for false claims to be called out and shut down.

There is no open source license (that I know of) which requires public availability. If there is a requirement of providing sources, it's always a requirement of providing sources with a derived work. If you are not releasing derived works to anyone you don't need to release any source to anyone either. So called permissive licenses don't even have any requirement on providing sources whatsoever.