I think it's twee rather than creepy.
I don't like the way it is built up as a big occasion. As though the child should somehow be grateful for their parent spending time with them. It should be the cake that is the more exciting thing, imo, not the fact that it is with DADDY!
Of course it is nice to have shared time together and to do something fun together, but the terminology of "date" is just a bit off, to me.
Of course some parents work long hours, and it can't always be helped. But when they are free, rather than saying "Hey, DD, I have some free time, let's go on a Daddy Date!" they should be saying "Hey, DD I have some free time, let's go and eat some cake!"
My DC get taken to a cafe one on one by either DH or me fairly often, when the other has an after-school activity and we need to kill time in town before picking them up.
If they had to call it a "something date", my DC would probably say "hot chocolate date" or "Costa date". They absolutely love going, and talk about it, and plan what they are going to order, and which cafe they want to go to, all week.
But they would be
at the idea that the main purpose of the trip would be spending time with their dad (or mum).