Do you really mean truly instantly, as in if you have two browser windows open, hit Submit in one, then hit Submit in the other, one will see the inquiry of the other?

Of course, even if they're both "instant" approvals, one might take many seconds longer than the other, so even if they do show up truly instantly, it might be hard to predict which one would hit the bureau first and which second, even if you know in which order you hit Submit.

("Instant" approval is not truly instant, ie, it typically takes a good chunk of a mninute, at least. Compared to that, it's possible to hit Submit on two -- or even more -- applications much faster than it takes one to process an "instant" approval.)