If they are printing flaws, and truly random, they would typically be removed from the site.
However, it sounds like they were produced in larger numbers than a usual one-off printing flaw. If this is the case, Admin may see fit to keep them on the site as an "exception" - he has done so with other wide-spread or hobby-acknowledged printing flaws (the Frank Thomas NNOF is a prime example).
These cards will be acknowledged in one of two ways on here - either remaining as a parallel to the base set, or by being removed and having a Release Note added to the Platinum set explaining that some cards can be found with the Platinum front and regular card number on the reverse.
I would expect Admin to ask for more research to be conducted first. iceiron5 provided some good information, but I imagine Admin would also want some more info on how many exist, etc. before making a final decision.
I'll never quit collecting entirely, but I am downsizing. Check out my COMC store and help me thin out what I don't want so I can buy cards that I do want. See something you like? Send me a message on here, and we can knock the price down quite a bit. I'll even take a bit of a loss if it means getting you a card you really want.