Yes. There is a clear cut answer. The first 20 EON Production movies are all in the same continuity and Brosnan's Bond is the same as Connery's. Dalton's and Moore's grieve over the loss of the wife they wed when they were played by Lazenby. The studio and the films themselves have been pretty clear on this over the decades. The "Codename Theory" is bunk and Daniel Craig was the first reboot of the timeline to start fresh with the character's background story and he's the only MGM/United Artists Bond to be a different individual from the Bond we watched during 1962-2002.
This is all public knowledge if fans want to find it.
To the best of my knowledge, the studio has never actually weighed in on the matter, and they have put several things in that bring a shared continuity into question. In Lazenby's Bond run, he breaks the fourth wall and acknowledges a different guy (weak evidence on it's own, sure.) Brosnan's Bond goes through old spy equipment, pulling out pieces from old Bond films with a clear looking of "what the hell is this?"
I don't particularly like the codename Bond theory. Each Bond run being it's own soft-reboot makes more sense, with Craig's being the first true hard reboot.
To compare it to the Trek example, we know 100% from Paramount that SNW is NOT a reboot, it takes place entirely in continuity with TOS. I believe the Bond films take a stance more of each Bond run is a soft reboot, where things from previous Bond movies may or may not have happened with no real continuity between them.
Didn't George Clooney reference Vikki Vale in Batman and Robin? There's another example of continuity spread across different visual aesthetics.
Flash established that Keaton's Batman and Clooney's Batman were not from the same continuity. Different universes explicitly.
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Also, characters existing between reboots and what not doesn't prove anything. There was a Phillipa Georgiou in the Mirror Universe. Does that mean Mirror Universe is just the Prime Universe? Or maybe a better example, James T Kirk is in Star Trek '09. Is that the same James T. Kirk from TOS? (it's not...)
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