I see no problem arising and I disagree that the FIA will turn down the Burkland Mile record, if they see fit to ratify the claim from the team and the steward at Bonneville.
In the classes there is no 'priority' of one distance over the other.
A record has to be claimed for the class (A- I - 11, I would excepct} and the distance attempted - so if the mile is one of the distances on the FIA application put forward by the Burklands then of course the speed will be a record at greater than 1%, subject to FIA ratification.
Their mile record speed is slower than the Al Teague kilo (which was timed and ratified by the appropraite US governing body I am sure) but does that matter?
What will not be official in the FIA is any claim to "A World Record" for the flying start mile or kilometre, as they are held by Andy Green at supersonmic speed (being regardless of category, group or class).
Malcol UK