Essentially if copious yanking and pulling fails to remove the paper, skim over it. It is, de facto solid enough.
I've had more trouble from plasterboard clouts then over the scrim tape..which is hardly a really major adhesive..
A lot of DIY is knowing when it matters, and when it does not.
I have regularly repaired holes in plasterboard with all manner of bits of newspaper and wire mesh and lords knows what wedged behind, knowing that once a layer of binding plaster is over them, they cease to have any function at all.
What is plasterboard? a layer of very poor quality plaster with two layers of rather thick wall paper - not even properly glued - either side.