Well, Iggy, this was really a joy to read. So glad it appears to be working out, you really deserve it being you appear to be a very patient person.
For what it is worth, I think all scroll saws, as do band saws have a drift tendency. It is a natural thing. Some more than others. I have a Hegner and it has less than any other saw I have owned, but I attribute that to the less forward/back motion on the saw, as your Hawk would have. I also tried the Pegas MG blades and they cut a straighter line, i.e. less drift than any other blade I have used. So, it must mean that the blade has a part, maybe the most part in the drift. I do not know. For my type of scrolling, the Pegas MG blades were too aggressive but I also tried some of their other blades and really liked them. Fact they may have replaced my favorite FD blades that I have used for a long time.
Anyway, I am real happy for you. Life is great!