No lawyers are not going to ruin their reputation and possibly loose their law license by placing a document as evidence they know is forged.
It’s their livelihood.
A document, even a ‘forged’ one, that is certified by the issuing state is going to be accepted at face value by courts. As has been discussed, original BCs can be sealed and altered ones issued in their place.
That’s the obvious reason they didn’t present anything. What other explanation would any person with half a brain honestly believe?