This used to be true, but not any more. (AMHIK)
After burning through more than 6 relays; Motorcraft, Carquest, NAPA, Ametek, Standard, BWD, Cole Hersee,
I'm running a cheap Chinese PMGR starter from DB Electrical and couldn't be happier.
The Advance store brand relay has no problem with the starter's 40A pull in or 13A to hold.
Jim,
Lil'Red is a '87 F250 HD, 4.10's, 1356 4x4, Zf-5, 3G, PMGR, Saginaw PS, desmogged with a Holley 80508 and Performer intake.
Too much other stuff to mention.