I pretty much always work in scraps and so have very few identical repeats and almost always make my Geese with the rectangle/two squares method. For small units, there is really very little waste and with bigger units you can make smaller HST for another project.
I've been doing the Bonnie Hunter mystery quilt this year and we had a lot of geese being made in a lot of different ways. I linked this thread over there to see if people can give them recent results, I know some of them tried multiple methods.
We also had this recently posted that you might be interested, it's making those bonus HST
Bonus HST's From Flying Geese
Edit: My solution to my style of cutting large and trimming down for Bonnie's project was to use her large triangle for the geese which she had us cut a specific way, and then I paired it with oversized triangles which could then be trimmed precisely. Still some waste but I'm willing to live with it to get accurate geese.