Operator said:
In TPM they continued to operate for a few seconds without orbital control signals.
No, they don't continue operating for a few seconds. Because of the nature of how films work, time has to be altered so you can see the droids shutting down after cutting away from the space battle. Really, what kind of movie would it make if you just suddenly cut to a bunch of unmoving droids instead of actually SHOWING them stop? It would be odd and wouldn't make sense.
In AotC they reactivate after the control signal was cut off.
Again, no they don't. While I love and will always embrace EU, the movies still have the final say. And, in the movies, a control ship/facility is never destroyed, so the signal is never cut off.
In RotS it never comes up...
Why should it? There's an absolutely HUGE fleet in orbit around Coruscant, and we don't know if an entire ship is even necessary for controlling them. For all we know, all the ships have small processors than can do the work for the security/pilot droids on board.
Simply put, the droids cannot THINK or OPERATE without the control ship/facility. They just don't work. No, that isn't a good thing. But their advantage is in numbers, not intelligence. Its why, when the Clone Wars were begun, the B2 droids were built, which were much better fighting units and could operate without the need for a control ship. You're trying too hard to rationalize what is and isn't possible, while bypassing the simple truths of what we know.
Look, I love the B1 droids. They're most definitely my favorite droid designs in the six movies. I can't even explain why, I just love them. I would LOVE to have a player play one, but by everything we've seen in the films, been told by the films, and know by the supplementary references books and d20 books, they are NOT in any way autonomous. Does it make perfect sense? Of course not! This is Star Wars! We can't rationalize every little detail for nearly anything! But the point is that all the basic B1 droids are 'dumb terminals' as you describe them. If they weren't, why waste the time building the B2 droids which can actually work on their own? THAT was the B2's big advantage, not firepower. The advantage was in intelligence, thinking, and learning ability.
Also, even if the 3PO incident was "comedy" it was in the film, it is just as much canon as Leia's golden bikini, Luke's missing hand, or the head-whackin' Stormtrooper.
But Leia's metal bikini, Luke's missing hand, and the Stormtrooper that hits his head make perfect sense. Jabba's a hedonistic slug, lightsaber's cauterize wounds so there's no blood and his hand is easily replaced with a cybernetic arm, and the Stormtrooper just plain couldn't see well.
But with 3PO, its a completely irrational thing that Lucas obviously didn't think about. And why should he care about the technical details? It was a good moment for the movie, and simply doesn't need any more explanation than that. Lucas doesn't make these movies from a technical standpoint. He never has. We have to accept the small amounts of technical info he gives us as how things work, even if they don't completely make sense. But this one is definitely held up by all the movies and supplementary material.