Ahhhh, yeah. That's the good stuff. I've rarely had that cause much issue. That said, I just hate dealing with wires covered in adhesive so I switched to the non adhesive stuff for long wraps and then use the super 33 to close the ends (or heat shrink, if I can manage).
It really only matters if you plan to unwrap at some point to redo, replace, or reroute. If you're not going to "re" anything in the foreseeable future, then normal tape is fine.