AKC and OK dept of AG can only tell you that member ship fees are paid, that there are no grievances with registration papers not being forwarded , or disputes about inaccuracies in reporting sire and dam, AND the dept of AG identifies the facility as meeting standards of care and code. NOTHING about the animals or the breeding program .
I have shipped and received pups by air --- . In fact later this month a pup will be flying in from Oregon to Ontario - basically across the continent . no concerns
IF the dog comes from sound background , has been raised to be well socialized , is not showing any concerning behaviour (which should be a deal breaker end of story) then there is no problem in shipping.
It might be a long journey but not necessarily exhausting . The dog isn't doing anything -- opportunity to have a good snooze.
On the other hand if the dog arrives and you have problems , don't pin it on the flight as an excuse or cause .
get a video of the dog see if you like what you see