Guy sends me 😍😘 and "can't wait to see you" after 2 dates, but has been respectful when we met in person. Red flag or no?

I've been on 2 dates with this guy. We spent at least 4 hours each date since we had so much to talk about. We'd go from lunch to dessert date, walk on street, etc.

He's been respectful, didn't put his arm around me or hand on my hip, didn't initiate kissing me, didn't behave like he was desperate, but after each date he would send "Can't wait to see you" and after second date he's sent 😍 and 😘 here and there.

Is that a red flag that he sends those Emojis? How about the "can't wait to see you" comments?
Guy sends me 😍😘 and "can't wait to see you" after 2 dates, but has been respectful when we met in person. Red flag or no?
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