All the walls in that mobile home were full of formaldehyde-laden foam. That was a lot of formaldehyde. For your little lamination job, you'll be using only a few tablespoons of glue, if that much. That's lots lots less formaldehyde.
I do veneering and bent lamination with UF glue on much larger pieces, and am not bothered by it. Put it this way.... Pop open a half-empty gallon can of latex paint, and you'll get a whiff of some chemical brew. That stinks worse, IMO, than the UF glue you'll be using.