Some of you didn't get the first post... besides the question whether bee and Naruto would survive the extraction, he also asks if the beast being sealed (in a cage) inside the user or not (like Naruto/Bee) would be a factor that decides whether they survive the extraction or not.
I don't know for sure, it does make some sense, that breaking that seal by force might just be the reason why the hosts die... but we still have no proof for that.
Naruto would most likely survive it (his mom was pregnant, just gave birth while also struggling with the Kiuby trying to break free, had Kurama extracted, used her chakra chains to put up a barrier and restrain Kurama, and in the last moment she was fast enough to protect Naruto from Kurama's claw and even then she didn't die on the spot) and if what you say (with the beast being free inside Naruto) then he sould survive it for sure.
Now about Bee... i don't know, no comments have been made regarding his life force and stuff like that. From what we know so far he should die.