‘A Holly Jolly Christmas’ is one pervy Christmas song

The Burl Ives song “A Holly Jolly Christmas” is a holiday classic. But there’s one line in it that really bugs me.
The narrator of the tune says someone is waiting for you under the mistletoe and then adds: “Kiss her once for me.”
What the hell does that mean?
I imagine some lecherous old man telling me to kiss my wife or girlfriend once for myself and then once more with feeling for him.
“Hey, honey, this next smooch for a creepy old man I just met.”
Yuck.