At first I thought what you were describing might be what some call the "shimmies". Some Mollies seem to get it from lack of salt (Mollies are brackish fish - but so hybridized at this point that I think it is subject to debate, IMO). Except to treat for ich and some fungus and bacteria, I don't use salt either because some of my fish can't handle it - so good call on that.
I've seen it very rarely, but thought it could actually be the shimmies showing up, but it doesn't sound like it now though. The curved/bent tail doesn't sound too hot. The only thing I can think of that causes that serious of a deformity is Fish TB. I don't want to be an alarmist either --- so search the forums for TB and see what you think. It guess it could be an actual injury and not chronic disease related too - but I've personally never seen that symptom develop.
I'll have to pass to someone with more expertise - sorry I can't be of more help and good luck!