When your friend gets involved with someone, it affects the friendship. Whenever a friend of mine has a new girlfriend, we should say I looked like the person you used to know, but I've been modified to survive in this relationship. If we have an argument and she's there, I might disagree with you; I'd rather continue to see her naked.
Friendship and Girlfriends
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Explanation
Experiment
Explain Bear
Listen up, you dense human! The joke is about how a friend's girlfriend can change the dynamic of a friendship. The speaker implies that he might side with the girlfriend in an argument to maintain his chances of seeing her naked. You would do that too, wouldn't you? It's funny because it's a somewhat twisted but honest take on male friendships and attraction. It's also pretty cringe to talk like that.