It will work just fine.
It will make you feel better about the security of the fastener.
It is not necessary, at all.
Really smart people have designed these fasteners to perform for a lifetime with no maintenance whatsoever and so long as they are installed in accordance with their design parameters. That goes for rivets too!
Properly installing these AN365's does not include loctite according to "the book of standards". Van sells this
book.
It says that these nuts shall be torqued with dry, clean threads, soooo one could argue that loctite would provide lubrication which could LEAD TO overtightening!
Soooooo, does this help?

CJ