I don't see Remark's version having the effect of inciting the population into rebellion. I see it has having the effect of suppressing rebellion. Had crucifying Jesus had the potential to incite a rebellion, the Romans would have killed him in a much less public way. Crucifixions served as a warning to others about what could happen to them if they didn't behave in the way the empire wanted them to. That story didn't need someone like Remark to tell it. The story would have spread on its own, and that's what the Romans would have wanted. Had the Romans done something like that to Jesus, it would not have been possible to suppress the knowledge of it or prevent it from spreading far and wide.

Had the Romans simply wanted to kill Jesus without the masses knowing about it, they would have simply had him assassinated and not taken credit for it.