I started using the sew on the line technique a number of years ago. At first I sniffed at it and called it a "fabric wasteful" technique. But I was doing a block swap and had to admit it was a sweet way to go with the little cat ears we were making...
But as time went on and my vision progressively got worse, it is now my go-to method. Because of the way triangles work, on a small square (under 2" or so) there really isn't much waste.
I draw my lines as I do my cutting, everything is right there and ready to go. For me it is the fast way!