I agree, thats on my list of upgrades for both better tape and butterflies. I also need a pen light, nasal airway...
That tape is pretty much for holding various gauze and dressings for boo boo's, sprain, strains... I have low hopes of it working for securing a chest seal.
How do you pack gorilla tape more efficiently?
For emergency use, a couple of wraps of the 1-inch size around an IBD twice will do the trick.
I also carry wads of regular size by folding one end about the length of a credit card on the sticky side, then I very carefully wind a bunch of layers over the top of that. I can carry a significant amount of tape in a flat package that unwinds almost as easily as it did originally from the roll. Some people do the same trick with an actual credit card (old/cancelled) as a form to wind the tape, but if you're careful you don't need it.