High gloss laminate is a PITA, no matter how you deal with it. I generally find that it is better to get rid of the film. It just causes problems. It does take some careful handling though. PVC edgebanding is not so bad, as long as you stay away from the super thin stuff. 1mm seems to be the sweet spot, thin enough to cut easily, but thick enough to have some substance.
Gloss edgebanding does bring some complexity to it too. I usually use a router that has the ability to have a follower bearing, rather than one attached to the bit. The high speed of a mounted bearing can/will make a mark during the initial touch. Up spiral bits pull the chips away from the bit, but they can also raise a burr (or even tear the surface).
I use down spiral bits for this type of thing, for that reason. The metal (foil) type laminates act in a very similar manner and I use them much more frequently. The thing about down spiral is that they throw the junk into the bearing. You have to be much more aware of that and keep things clean, stopping often if needed.