If a guy won't argue back with a girl does it mean he doesn't care?

Everytime I'm upset about something & want to discuss it, he says things like "it's not worth going back & forth about this. You're going to think what you want anyway". Not worth it, huh? All I hear is I'm not worth it!! I know I'm stubborn & he really hates arguing but shouldn't he put up some kind of fight?
If a guy won't argue back with a girl does it mean he doesn't care?
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