Is it weird for my boyfriend to act like a dad?

Me (21yrs) and my boyfriend (37yrs) have been together for almost two months. He refers to himself as daddy quite a lot, inside and out of the bedroom. He says things like “if you need help, ask me; daddy’s smart” and “daddy’s going to lay down for a little bit.” I like it but I find it difficult to actually call him daddy even though I’m into it; must be some kind of mental block. He is also jealous and slightly controlling. I like to draw sometimes and I drew a picture and he hung it up on the fridge like a proud dad. I also drew a picture of our names together and he seemed to love that, he saw it and said “cute baby!” And he taped it up to his bedroom door. I like our dynamic, but is this generally considered weird?
Is it weird for my boyfriend to act like a dad?
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