A hurricane isn't a thunderstorm, and has very limited vertical movement in its airflows. The hurricane hunter P3s do it.
That's true, but they can (and usually do) contain embedded thunderstorms.
> and has very limited vertical movement in its airflows.
Except for the embedded thunderstorms.
> The hurricane hunter P3s do it.
That's true, but they can do it because their destination is the eye of the storm. That allows you to do all your navigation relative to the storm.
Commercial airliners are trying to reach a destination on the ground, i.e. a target that is moving relative to the hurricane. Trying to navigate with this additional constraint is a whole different ballgame.