Moving and remaining conscious in the transporter beam was not a mistake in TOS. On the contrary, in "That Which Survives," it was an actual plot point: while in the process of beaming, the landing party helplessly witnessed the death of the transporter operator in the episode's teaser, which they discussed among themselves after they'd beamed down.Transporters take you apart and reassemble you at the other end. I wouldn't be surprised to hear transportees don't experience this consciously, since it's almost instantaneous, and there's no them to experience it, while it's happening. Apart from a TOS mistake or two, talking and moving in the beam started with the movies, because some Paramount executive, or somebody like that, told them to do this.
I've always thought that it makes sense. A reasonable approach to ensure that people stay alive during transport is never to interrupt the process of life in the first place.
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