Take, for example, this FAA official IAP plate (ILS RWY 13L CAT II JFK). Its Initial Segment consists of more than one Initial Approach Fix (IAF): COVIR, KMCHI, and BUZON. As far as I can interpret this, when an aircraft enters from the en route structure, it is obliged to follow the route COVIR → KMCHI → BUZON → TELEX etc.
My question is, is the aircraft supposed to follow this particular route or, depending from where it comes, it can "skip" e.g. the first Initial Approach Fix, and follow the route KMCHI → BUZON → TELEX (instead of COVIR → KMCHI → BUZON → TELEX)?
Also, if the answer is yes, does that mean that it can even ignore all the IAFs and enter Intermediate Segment directly, provided that this serves its purpose better?