The trouble with gardening is, ask a panel of experts a question and you'll get 3 different answers. I remember your original question on this plant and then, you believed you should wait for the peat soil it was in to dry out before attempting to repot in different soil. That wasn't true, and I don't think this latest thing is any more true either - when I suggested you should repot immediately, I also said 'water in well' after repotting, and 'allow to drain freely'. And that, as far as I'm concerned, is exactly what you should do, assuming the new potting mix you've used is gritty/sandy and free draining. However, that said, an aloe will go for some time with no water at all, and yours was apparently suffering from being overly wet, so if you prefer to follow the advice of whatever other source you're using, it probably won't come to any harm.
And not watering immediately after repotting any other type of plant is exactly the opposite of what you're supposed to do, so if you repot, say, a shrub or a perennial, you water, thoroughly, immediately after you've finished potting, but always allowing water to drain out of the bottom of the pot without any obstruction.