I given that the Phantom is the ultimate legacy hero, it would be nice if the different incarnations fit together better chronologically, because they theoretically could if you just jiggered the numbers a little.
Absolutely. I don't expect the new cinematic version to refer to the Zane one (they've specifically said it won't be a sequel to it) but it would be nice if it didn't contradict it either.
You know, if you didn't know anything about that movie, then well and good, you enjoy this one on its own merits. But equally, it would be nice if you could choose, if you wanted, to assume that this Phantom, whoever plays him, was the grandson or great-grandson of Zane's version. Your own personal continuity, so to speak.