If it is not right in the system, then yes, I presume it would show up for all means of purchase. You asked whether this is a "practical" connection, and I think it's fair to say the overwhelming body of opinion expressed so far is "no, it definitely isn't".

Now the ball is in your court about what to do - the basic choices are don't book it; call AA and check; or attempt to ticket it anyway and then see what happens. Several, notably some well-respected FT'ers, have advised the second option, which seems like a good starting point that doesn't preclude either of the other two avenues.