You mean like the honeymoon fund poem? If so: Maybe not the best to put in invitations. On the wedding website maybe but I do stress the maybe. If I got that it would not really bother me but I am also not super traditional. There are people it would bother immensely. It depends on the person.
Depending on where you're from, it's redundant. I'm in PA and when I got married, all my gifts were monetary. I give money regardless so it wouldn't matter to me. I don't think gifts are mentioned in invitations though.
If you are referring to informing your guests of your honeymoon fund, we did a details card. It was a little poem about it with another phrase saying to visit our website for other registry information (we set up a small Amazon registry in case anyone was dead set against giving a monatery gift). You wouldn't put it on the invitation itself but on a details card. And if you don't already have a website, I would create a quick one and link your honeymoon fund and registry to it.
It's not a huge thing where I am from, although I have seen the honeymoon fund. Personally it doesnt really bother me, except for the fact that those sites generally take a percentage of whatever is gifted so instead of the couple getting all 100 bucks they only get 80 or whatever. So we always gift cash/check at weddings. I do know some people that would be very offputt if they saw it in/on an invite. Websites fine. Invite, I would advise against it just to be safe.
My first reaction was "do they want me to write some kind of well wishing response." I wouldn't know what that means.
If it's basically saying you want money for the honeymoon, I'd probably leave that off an invitation for etiquette purposes. All the weddings I've ever been to collect monetary gifts in a card, so I can only go by my own frame of reference.