I saw this, and became intrigued.
I've done a similar experiment with a classic pet-RFID chip embedded in a variety of embeddings (raw meat and other...foodstuffs) and ran them through a lab-MRI. What I found was (disappointingly enough) a significant lack of explosions or shreddings, leading me to hypothesize you should be fine as well.
No promises, but if it were up to me I'd feel safe going through anything not too strong ^^
@amal Just how much iron does the core contain?
Good luck and let me know if you hear anyone saying the opposite
EDIT: Of course, I can't say anything about the whole pain-factor about the scan, but I saw nothing in the way of dislocation of the chip ^^