Thanks for posting! We call them wings, too. If your windows are all the same, but have mixed and matched parts, it can be a little tricky. Wings aren't always necessary for the window to function, to be honest. They help stabilize it in the track. A balance can still work without them, as evidenced by your windows. If you found that you had no trouble with either the winged balances or non-winged balances, then I would imagine that you could go either way and be fine.
That's great information! Thanks. I have just ordered some channel balances. I'm going wing-less!