not specifically those models, but yes I have cropped laminated documents in our rotary trimer (Dahler) without problems.
The common case is you print something on A4 paper, but the item is smaller and so you need to trim it down to size.
So we print on A4, laminate with A4 pouch, and then trim it with the rotary.
It says up to 10 sheets in the one you linked to, so I would think that is plenty enough for a normal laminated piece.
I guess you can compare 10 sheets of paper to one of the items you want to trim? Is it thinner?