False. And there's only a "sliding continuity" in that the Connery-Brosnan Bond perpetually has the physical appearance of a man in his 30s despite the passage of decades around him and the numerous life experiences he has.
Nobody does that other than the fans.
I think the point is that it’s the films that very much do that. That’s why Daniel Craig still has a Connery Aston Martin. Every Bond has hangovers to the previous, inheritances. Craig inherited the shiny modern MI6 and M from Brosnan, before eventually getting a faux Connery set-up complete with Reblootfeld aka Dr. evil.
They made him a newbie in Casino Royale, and he didn’t like shaken martinis (ooh, the radical changes) apart from that...he’s just another interpretation of the same book character.
Eventually each is a different interpretation of the same film character (hence the sliding continuity.)
And they always, always, like to throw some little bit not-continuity-but-would-be-anywhere-else In. They can’t break from the past, and they don’t really need to...there’s a soft-reboot with every new actor on the tacit understanding that the audience goes along on a wink and a nod. He’s the same but not the same. It’s almost Doctor Who. (And that joke was made over in the Who books, where Bond is hinted at as being a Time Lord in the employ of MI6)
Pretending there is a hard continuity is silly.
Pretending that there isn’t this sort of sliding continuity is also silly.
Pretending Craig was a total reboot is both silly and not silly at the same time.
Pretending having him do version of Goldeneye for a video game was a good idea is very silly indeed xD