I asked this on Discord before posting here, but after rereading the response and the Godot documentation, I think I understand it better.
I think it makes no difference - the export only really consists of the binary/"export template" (which was compiled elsewhere, like the editor binaries from the website), and your resources packed into data.pck
SheepAndDotto
So an exported game is just a bundle of the created game assets and the built binary export template. If this is indeed the case, then building the templates with RHEL 7 will in fact maintain that compatibility and not pull in newer distribution links.
The terminology of "export template" just confuses me as I see the term "template" as a general guide that will be used to build something. The templates themselves are compiled binaries of the engine (without tooling/editor), not instructions (as far as I can tell) to create the final game binary.
I'm going to assume this is what is going on and see what happens, but won't mark as answered until there's actual confirmation on this.