In the RNAV-A IAP for KGAI there's a note "Procedure NA for arrival on EMI VORTAC airway radials 151 CW 269". It appears that arriving from any airway radial to EMI would have the NoPT (of the 205 outbound) apply to it, and it's not clear how to interpret this note when joining the approach at WOOLY as the IAF. So what exactly does this note mean?
"NA" means "not authorized" here, because they don’t want you making a 163° turn from V265 NB, a 127° turn from V268 NB or a 115° turn from V3-166-457 EB over EMI. If you’re arriving from outside that arc, the NoPT routing applies.
A note like this is standard any time there is an airway crossing an IAF or feeder fix, because they don’t want you doing an uncharted course reversal over a VOR or anticipating the turn so early that it goes outside the protected airspace.
The note says nothing about restrictions on using WOOLY as the IAF, e.g. if you are arriving on V44-214. There’s a hold charted there, so using that as a course reversal is fine if you need one.