Ummm - hexi in a SAT? You must be a patient sort
THe SAT wasn't designed for hexi, and is not very efficient with it.
Personally, I'd use the burner it came with - to speed up the bloom, put the pan on immediately after lighting - the build-up of heat within the windshield speeds up the process, and doesn't waste fuel waiting for the bloom.
The Tatonka burner is an option, but - again, personally - I'd just buy the tatonka simmer ring - it fits the SAT burner perfectly, and is only a couple of quid. I've tried the Tatonka burner, and don't find it offers any real advantage over the Trangia/SVEA one that comes with the SAT.
Don't forget also that the windshield makes a very passable wood-burner on its own! It does go a coppery brown and seems a bit softer, but I've used one for well over 50 wood-burns and it is still in one piece and perfectly usable.