I've learned through trying a lot heads over the years that there isn't an absolute when it comes to snare heads.
Some snares sound great with a coated Ambassador batter while others really need the added thump a two-ply head gives. Some sound amazing with a dry-vented or edge-control type of head, while other drums can sound boxy or lifeless.
If you're searching for your sound on your drum, it would make sense to find out what each variation (ply, film weight, dots, vents, rings, etc.) brings to the sound, compare that to what you like or don't like about your snare now, and try a few different heads out. You might be surprised what you end up with, and it's very possible another drummer might tell you that it's the worst idea in the world, but if you like it...