Bump Review question

I was thinking of sending in some cards for review to tray and get a bump up a half grade. Do they actually re-holder them with the new flip with the number below the condition even if they don't get the bump? That is, my current PSA 8 of xyz card has the 8 next to the NM-MT letters. When I get reviewed do they re-holder it with the 8 below if they don't give it a bump? I realize if it gets the bump it would have a new flip of course.
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I was told at one point that sometimes they need to take card out of holder to determine if it gets a bump or not. In that case, you would get the new flip. That is why I haven't sent some of mine in. Can anyone confirm if this is still the case??
Jeff