I've used more than my fair share of various kinds of tape, and from experience, the tackiness of the tape varies *greatly* across brands. When I was a student, I used all kinds of low-tack, removable tape (artist's tape, masking tape, painter's tape). I'd often try to save a few dollars and bought the cheaper brands. But, I found that only the tape that costs more had enough stickiness and could be removed one one piece without rips.
If one kind of painter's tape is giving you trouble, it could be a variation in quality from different brands, not necessarily the category of painter's tape in general.
There's not really a solution to not enough stickiness, but if you do find something that's got too much stickiness (hard to remove), an easily solution to decrease the stickiness easily is to gently stick it on your clothing before you use it. It'll pick up a few fibers to lower the tackiness.