The problem come with names that are not correct.
18ga and 16ga are BRAD guns, not nailers. The shaft is square and the head is the same width as the shaft. The head is longer than the shaft, usually about triple. This means the head on any of those brads is a rectangle. Even the angled 16ga brads, called nails, are the same size as the straight 16ga brads.
Angled 15ga nailer is a whole different thing, much larger and higher holding power than 16ga anything. The shaft is round-ish. The normal head is oval and has lots more holding power at the head than brads. There are special finish 15ga that have a very small ROUND head. There are special full round head 15ga nails that are offset from center so that they will still work in the guns.