He betrays his cause and his Younglings because he doesn't feel he belongs there anymore and goes of to join the Rebel Aes Sedai, then he feels he shouldn't be following their orders and goes off to save Egwene, then he decides serving Egwene isn't everything he always wanted so he runs back home to Andor - after Elayne has already resolved the crisis there - then figures 'no wait, maybe my place is with Egwene after all!' for a while before deciding, no, his place is martyring himself to kill Demandred!
Gawyn is all rash decisions and no commitment, and this is something that comes to be most obvious in the latest books.
He commmits, but carries a mountain of self-doubt and second-guessing around with him. So he ends up constantly trying to clean up past mistakes real and imagined when unfolding events prompt reassessment of the situation and where his duty lies. That is where his rashness severely and fatally hobbles him. The combination of impetuous and indecisive is as poor as it is unlikely.
Last First in wotmania Chat
Slightly better than chocolate.
Love still can't be coerced.
Please Don't Eat the Newbies!
LoL. Be well, RAFOlk.