Connor,
I ran an experiment with a 5V 1.5A transformer with the same battery charger/holder as the one with the kit from AW that has the original 5.5V 350mA transformer.
I first drained the 2400mAH by running the U2 on high for at least two hours in front of a fan. There was some light output left, and the battery was about 3.17V or so after this.
I then used the new 5v/1.5A transformer and sure enough after barely a couple of hours (much fast than twith the stock unit) the green light came on. However, the voltage of the cell was NOT the usual 4.20 volts, but 4.05 volts or so. The cell was NOT warm or hot to the touch, but I was not there exactly when the light turned green. I did touch the cell during charging and never felt the cell being hot/warm.
I am now re-charging the cell with the stock transformer (5.5v/350mA) and I am expecting to of course get back to the 4.2V or so.
So it looks like using a 5.0V/higher current does work, but does not charges the cell to its full potential. It should not be a HUGE difference (4.05v vs 4.20 volts), but there "is" a difference.
I have a 5.8v/700mA transformer to test/try as well, but given that the transformer's voltage seems to be directly related to the final/charged voltate cutout, I am not going to try it since it could overcharge the cell. If simple math holds:
5.5 => 4.20, and
5.0 => 4.05, then
5.8 (should be approx) => 4.4v-4.7v - which would be TOO HIGH /ubbthreads/images/graemlins/crazy.gif
So, based on these limited tests, it "seems" that it is best to stick with 5.5v to get the best charged voltage, but using a 5v is safe, even if the cell is not trylly "fully" charged - at least at 1.5A it charges up VERY quickly and you can then use the oroginal transformer to top the cell. I would also recommend AGAINST using any transformer with a voltage rated to higher than 5.5 volts (by the way, all of these measure slightly higher under no load).
Hope this helps,
Will