@Megalomaniak @TwistedTwigleg @cybereality Thanks very much for your suggestions.
I am currently archiving my old games instead of continuing to work on my new game with the wireframe shader right now. I will continue working on my new game when I am done archiving my old games.
@Megalomaniak I will possibly look into barycentric coordinates when I continue working on my new game.
@TwistedTwigleg's suggestion I have already seen before on my search, and dismissed because I don't believe it can make wireframes where every line reguardless of distance is equally thick on the screen (at least not by itself, so maybe I should not dismiss this suggestion immmidiately).
But @cybereality's suggestion is the first one I will try when I am done archiving.
In the meantime I am still welcoming new suggestions if someone happens to have any.