Even if the only care they had is PR, they surely realize that the worst possible PR for Boeing and Alaska is for these incidents to begin happening on a regula

Even if the only care they had is PR, they surely realize that the worst possible PR for Boeing and Alaska is for these incidents to begin happening on a regular basis, which will lead to consumers flying less, which leads to less demand for Boeing airplanes. If I were a PR person, thinking only about PR (not caring about anything else), the #1 thing that seems obvious is "what do we need to do to have these incidents stop occurring ASAP". Or they could be just putting on a show like you're suggesting, but that would do a huge disservice from a PR perspective if that results in the underlying issues not being fixed. "Door fell off airplane during flight" headlines a couple times a month would be some of the worst PR you could possibly have (with the exception of planes crashing, obviously even worse)