I have put skins on a bunch of bows, seems like I had one tear a little on the side when I got sloppy with my trimming.
Never had a problem tearing a skin while removing scales. I do have the skin completely dry(a couple days after initial application), trimmed and sanded flush with the bow edge before I remove the scales so there is nothing loose for the tape to grab and tear.
I have backed three bows lately with copperhead skins which are the thinnest of all the skins I have used so far with no tearing problems.
One method I feel is wrong when applying skins is to wrap them after application with an ace bandage or similar wrap. You get a much better bond by spending a half hour or so pressing the skin down and working out excess glue with your thumbs until the skin is almost dry to the touch. The wrap is only going to put a lot of pressure on the edge of the skin, very little in the middle of the limb unless you have a really high crown bow.
Press the skin in place with your thumbs, working out excess glue and any air pockets to the edge while centering the pattern.
Trim after about a half hour.
File and sand to shape the next day.
A nice clean trim on the edge looks the best. I think skins that cover the limbs edge look really sloppy.
Then remove the scales. Use this method and I doubt if you will ever tear a skin while removing the scales with tape.