THIS‼️ 100% Kakashi-sensei thinks it's a prank up until Sakura is like "No, really. I met the guy. He goes by Hound and is incredibly freaky."
What's even funnier is when Naruto isn't with (alternate) Kakashi, he talks about him all the fucking time. He thinks he's the best thing since sliced bread. His nice new neighbor who comes over all the time, listens to him babble about his day, and even cuddles him!
Kakashi-sensei just barely pays attention. Not because he doesn't care, but because Naruto never stops talking. Eventually, you just tune it out. Oh, he brought you ramen? That's cute. Oh, the ramen was really good? That's nice. Oh, you shared some with him? Very cool.
ANBU Kakashi is mildly amused by this other version of himself, who couldn't give any less of a shit if he tried and is just trying to read his porn in peace. Ironically, that's what gets ANBU Kakashi into the books.
It helps that Naruto has edited them for Jiraiya and has copies of all published editions, PLUS any drafts the man left behind. He has a full galaxy brain moment when he realizes. Kakashi-sensei would be kicking and screaming in jealousy if he knew.
Naruto starts talking more and more about him and you're right, Kakashi-sensei is like "Huh... That sounds familiar."