Reviewing the spells that use this condition, yes this seems to be correct that you cannot move.
Hence many things specify an additional rider on the condition, such as: "incapacitated and can't move" (wind walk), "incapacitated and can't stand up" (Tasha's hideous laughter), "incapacitated and has a speed of 0" (hypnotic pattern, feign death, Hypnotic Gaze ability), "incapacitated and can't move or speak and is unaware of surroundings" (unconscious condition).
So yes, you can move while incapacitated, unless otherwise specified, and it frequently is otherwise specified.