As with all generalities, there are exceptions. The 10 cent Prexie Coil shows on first flight covers to Canada with the correct rate paid for only that part of the fight to Europe. Those few covers sell for the 10 cent coil solo price, not a simple FF cover. Also the FF was different from all other flights due to the fact the mail volume to too great to be handled at a small airport and this one fight was rerouted to one different town to handle the cover volume. See one of my posts here:
https://goscf.com/t/82510 specifically he Botwood item.
As to the correctness of a solo 12 cent rate for your cover, I am not near my required publication currently. Not to mention that US foreign airmail rates were not the simplest during WWII. Perhaps someone can chime in with the rating possibilities including possible convenience underpayment. While covers such as your can be prepared by collectors, collectors were also directed to send in money and the airline handling the route would provide and affix the proper postage.
Sometimes a philatelic connection is the only way certain items provably exist. My favorite example is US helicopter transit from point a to a large airport for continued airmail service. No special normal and routine postal marking identify such except the first flight marking. Yes HPO markings occur but for a Highway, not Helicopter, Post Office.
My last observation on the subject is to point out that commercial mail as opposed to philatelic mail often can be carrier on such "firsts" since the routes are in place for commercial mail every subsequent trip after the first that commercial mailers can be aware in advance of the new likely more speedy route as well as the clerks handling the commercial mail.
Edit: For eyeonwall, check out the link. You did not post on it so I am not able to be certain you ever saw it. Worth a look.