I have always used the TESA red tape and had no issues. The lifting problems are always going to be caused by frame damage and/or cable folding problems with the iPad Air, iPad 5, and iPad 6.
Everytime I work on an iPad, I hold the edge face down against a straight flat surface on all four sides to check for any kind of bend along the frame. Gentle pressure can be used to coax the frame back to straight again.
Cable folding it critical and good adhesive should be used to attach the folded part of the cable to the screen. Some replacement screens will have major differences in how this cable folds compared with the OEM screen. This may require some frame modification to attach the screen on fully without any pressure on the cable itself.
For the tape, I’ve always used the thickness to match the frame width. From my perspective, there are only two exceptions to this:
* The max width of my red TESA tape is 5mm since that matches the max holding power of most apple tapes.
* Tape around the digitizer wires should extend over the frame by about 1mm and be pushed into the space between the cables and the screen. This will keep it pushed down and stuck in place forever.
Hope this isn’t too much. My major point is that there are tapes that are just as effective as the OEM apple tapes. It’s not so much what you use, but how you use it.