There is no difference or benefit, you are simply communicating to nage that the technique is complete, and that "if you continue, you're going to hurt me seriously."
I guess if you are in a seminar or testing scenario, where there is a lot of ambient noise, a double-tap can be more noticeable.
I've seen students tap out by rolling the fingertips, which to me is dangerous (to uke, if nage/tori doesn't notice the fingertips), and also insulting (because it's conveying that the technique is too gentile, and therefore, warrants a gentile tap-out).
Depending on the technique, uke can also tap himself, by slapping the chest, arm, or leg; or can tap nage/tori as well. Whichever is preferable depends on each scenario. Sometimes, uke is not on the floor, so tapping the floor isn't an option.
Nage is responsible for uke's safety, and should know that beginners can forget to tap, and so, should look for other indicators (like, "ouch!"). But the floor is preferable whenever possible, because it is a common sound, and easily recognized.