If a guy keeps saying his girlfriend doesn't like your pictures and she doesn't want him talking to other women but he doesn't try to block these

Other women on social media would you say he's shady?

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I wouldn't bother asking him to stop. Habits like that are addictive and don't change just because someone asks.
I'd either accept that that's how he is and live with it,
or I'd quit the relationship and find someone who prefers real-life and has no interest cyber-cruising.