What Cameron said. In my experience, that usually happens when there is some issue with the instructor involved. Most often it is that they weren't renewed at the time of training, which is a simple admin issue but still not allowed. Sometimes, however, it can be a more nefarious issue, in that the person was not authorised to teach the course ( I have seen DM's and Assistant Instructors conduct an entire course alone, and then some other instructor's name goes on the card)
Sometimes a certain instructor needs a number of certs in order to get an MSDT or equivalent, some operations will give them the credit even though another instructor did the work.
None of this is condoning the practice, it is NOT OK and you should take it up with the shop, if no joy then with the agency QA department. The reason I said shop first, is that if it was a genuine admin error (process a bunch of cards and someone puts the wrong name) I would like to give them the chance to fix it first. If you get any response other than "oops, so sorry, we will fix that right now!" then get onto the agency.
I have no idea about the liability issues if you dive on a card you know is wrong, i imagine insurance companies would love that.
Good luck!