I've used the Avery and don't recall any issues. Some of the mask vinyls are stiff and brittle, some are nice and plyable.
I took a second look at the material on that tcglobal link, it's transfer tape!, what you use to transfer the cut vinyl.
I have plenty of that already in both clear and semi transparent. I have used the semi transparent transfer tape for masks in the past hand cutting signs on flat substrates.
It does work but switched to vinyl with the plotter. The vinyl makes a cleaner edge and is more reliable (sticks better).