So my KF number has my name backwards even though it asked me to fix it during sign up and I swear I did...

I just made a booking and the name is backwards. I called up res and they put a note in about it and said it would be fine, I would be allowed to check in. They were insistent that points would credit, etc. but I'm very skeptical.

Now, I am crediting to AC and very worried about the points posting in time to Qualify for SE status (based on post date). Can someone confirm that at the airport they can actually CHANGE the name, and won't just check me in for the flight with the wrong name?

Could I just push them to reissue it properly? The issue is availability is 0 on the flight so I wonder if I will lose the seats if they do this?