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Clark thinks it's fascinating, watching Bruce switch from being Batman to Bruce Wayne. They're like two different people.
Bruce worries about it, he gets weighed down by guilt. He shouldn't. Clark does the exact same. He knows Bruce gets insecure, though Bruce would rather get stabbed than admit that. He worries about which version of him people like best. He worries that people don't appreciate the real him.
Clark gets it. He worries people will always like Superman best. The one they see in photos, the one that gets praised. They don't know the real Clark. They never will. But Bruce does.
Bruce knows Clark in the most intimate ways. He knows things no one else ever will. And Clark knows Bruce intimately too. He knows things no soul will ever know. They share something special, something that is just theirs.
So Clark watches his boyfriend. He watches as Bruce engages with people at parties, as he embodies that part of himself. He watches when he becomes Batman and fights crime. He watches when Bruce gets into their shared bed. He watches when Bruce interacts with his kids and when he makes breakfast.
He watches Bruce and he kisses him.