yes, he did hold out his hand to the side and made Jimmuh cross the stage to come shake it (briefly)
there were even editorial cartoons on how stupid it looked.
Jeff MacNelly was savage through the whole 1980 campaign. I may still have a box with his cartoons.
My favorite was one with Carter in the cab of a big steam locomotive, with the wheels off, and the whole train wrecked. It’s labeled, “The Economy.”
Tiny, tiny shrimp Carter is saying: “By the way, did you know Reagan is a racist?”