I have several Woodsman heads and using a good file, back to front across 2 blades at once, lighter strokes with each pass, rotate, do the same. Once I get a burr, I use a fine stone and do the same, then strop across cardboard. Hair popping, super sharp. I use the same technique with Snuffers. It don't take very long with each head either. They fly great. I've yet to have a Woodsman head not fly perfectly (with a well-tuned bow/arrow setup).
I sharpen my Deltas on the Rada wheelie sharpener. Wow...so simple but so effective. Tilt the head downward and pull upward thru the wheels, back to front. Lighter with each pass until a good burr is on top. Then strop across cardboard. Scary sharp...and very simple to sharpen. The big Zwickey Delta flies extremely good, plus flies silent. The Woodsman heads will whistle a little. Ive hit some hard stuff with Deltas and can attest they are tough.
I don't think anyone could go wrong with either head. Just a personal preference I suppose.