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I have never used one TBH, I've been fine without so far. I have tried the Koolstop (not convinced it's much superior to a good technique to start with) and the Park Tool PTS-1 (good for chunky tyres, but not exactly something you carry in a jersey pocket, and perhaps not suited to skinny rubber).
To be honest I'm not actually sure the tape is to blame here, incorrect tape will prevent the tyre from sitting correctly, but I'm not sure why it would affect fitting the bead on the inside of the rim? Happy to be proved wrong however.
These thing are far more vulnerable than. The koolstop bead jack abet they are much more portable.