Not sure about your sitch. but my H would offer to take the kids so I "could rest" or "catch up on work".... then he threw it back in my face later that I was always dropping the kids off with him and he never had time to do anything.
Go figure.
Just be weary and remember they are in a cloud and even showing the emails where H would offer to take them didn't make the light bulb go on.
If you're fine, then say something like "I appreciate the offer, but the girls and I had a great time so I don't really need a break"