I tried this, on the Crinklz Rev 1, the tape panel was clear with big characters on it, stuck down onto a heavily printed on shell, with the the predicable effect of confusing the graphics.
I used a precision heat gun and was able to completely remove the tape panel without damaging the shell. (stretched a tiny bit here and there tho)
But the adhesive did NOT stay on the tape panel, it splt 50/50 with the shell, so now the shell was super sticky. Ended up placing some clear packing tape over it to cover the sticky.
I don't know if this is the luck you'd have with other diapers, but for these that did NOT work.
I suppose at that point one could use GooGone, but that stuff itself is pretty aggressive, I don't know if the plastic shell would survive.
And then you have to remove the GooGone because it leaves behind an insanely lightweight smelly oil, so I usually have to use soapy water to cut the oil.
The removal of the panel was traumatic enough, I don't think it would survive a Goo-Gone round.