that stuff is probably a no-go, but I can’t be sure without seeing a product sheet or an MSDS (which vinyl ease is not providing).
Personally, I would go with something known to be laser-safe, from a manufacturer who is willing and able to give you the information about their product.
Two well known (competing) brands for transfer/app tape are TransferRite and R.Tape, both of which make certain products that are laser-safe, and other products that aren’t. Oracal (orafol americas, posted above) makes clear pvc-based transfer tape and translucent paper-based transfer tape: you need to make sure you get the correct version, so I (personally) would stay away from vendors who don’t list the specific product number.
I’m partial to the TransferRite stuff myself, I have both the high-tack and the med-tack.
This is what their rep gave me when I asked about laser-safe transfer tape:
this is what an R.Tape rep gave me when I asked for laser-safe transfer tape: