Brendan, that 6-mover is really improbable! I would *never* play 2. Nd2, but of course 2. c4. Playing for that kind of trap seems silly.
I used to face the Budapest quite often, as a strong player at a chess club regularly employed it, and never fell into any traps.
There's a more plausible "Budapest trap" here:
https://www.youtube.com/watch?v=xfa3PXq2-sU&t=7s
but even in that main line, White can return the pawn and keep the Bishop pair with a slightly better position.
The mate by Knight in the latter trap *is* something that can snare Black if he botches a Caro-Kann. For instance
https://www.youtube.com/watch?v=F3YTp0naekI
As a C-K player I had to become aware of that kind of situation!