Any plan is in essence a sequence of actions to be performed in order to achieve a particular goal. Plan acts as some kind of a contract that specifies the agreed way of reaching this goal.
Keeping the plan can be both harmful and useful under different conditions.
In waterfall-based processes people try to specify to death everything before the actual development starts. Plan creation takes huge amounts of time and efforts. Replanning would require similar amount of work. It also might introduce the half-completed features since in waterfall there are no completed features until the very end of the project. No surprise, that waterfall-based processes avoid plan updates as much as possible.
