Hey Bridge! Welcome to the fray! Your Q's in blue.
Bridgestone: Is he entitled to be emotionally abusive because he doesn't know how to please her?
NO!
The general consensus amongst women is that men are dumb. With that in mind have you ever considered that this guy is completely clueless about how to correct his behavior? The biggest mistake in my opinion is that Relationships 101 is not a course offered in universities... and IMHO should be part of the school curriculum.
Bridgestone: Is it possible she's pushing him away because he's emotionally & verbally abusive?
Yes she is. It is also possible that Luv is misreading him. Her H reminds me of myself some time ago. The ONLY difference is I made the effort to try understand my wife.
Bridgestone: Which is an appropriate action to the circumstances?
To detach and not let his every action trigger her. Likewise Luv needs to become conscious of her own triggers and SEE how they are affecting him.
Bridgestone: It IS appropriate to set a boundary when someone is emotionally & verbally abusive.
AGREED 2000%
I have NEVER told Luv to drop her boundaries. She definitely needs to call him out on his crap behavior and enforce her boundaries.