Transport is not the problem.
The Check-In Agent will see it and it is obvious.
Maybe the automatic milage-credit will not work.
Then you need to send in your BP and a copy of the ticket.

I had onece the problem on BA. I have two forenames and
they were mixed in the booking. I called BA. They refused to change the booking but said that transport was not a problem.

For Crediting the miles I had to send them in manually.

Have a nice trip.