I agree with Tom. Limed skins tend to break sooner than ones that are just dried without any chemical treatment. Having said that, there is a lot of variability there. Overdoing the liming will weaken the skin. But, if the treatment is gentle enough, I don't think it does so much damage that I wouldn't use a limed skin.
A lot depends on exactly what chemicals are present in what concentration, the temperature, and how long the skin is exposed to the chemicals. If a skin comes out bright white, with not traces of pigment visible anymore, chances are that the treatment was fairly strong. That will make Australian quarantine officers happy, but not necessarily the player
I also agree with Tom on the brighter sound. You get nice crisp slaps, but the tones tend to come out a little anaemic. Still, I suspect that an African skin that has been limed will still tend to sound better than an Australian one that has been limed. (I've tried Australian limed skins quite a few times in the past, with mixed results; I have no experience with African limed skins at this point, only dried African ones.)
For a limed skin (whether Australian or African), I would recommend to go up a notch in thickness, to compensate for the brighter sound from the liming. This will also help somewhat with longevity.