How does you universal hosel accept both a 370 OR 355 tip shaft?
At the bottom of the hosel bore is a narrower section, or small, circular ridge that centers the tip of a 355 shaft. Very cool. So a 370 shaft will fit, and a 355 tip will also fit. I usually use quick center or glass shafting beads to help center the taper tip shaft into the bore. Actually, I like to use it regardless. Here are the links to both products:
https://www.golfworks.com/the-golfworks-quick-center-shafting-beads/p/QCSB/
https://www.golfworks.com/the-golfworks-glass-shafting-beads/p/GW0043/
Hope this helps! Michael