There's an exception.

A small unit might be suppressed and rise at command for a few mad seconds before one after another switch to normal suppressive fires (or run to next cover or whatever).

The sudden and probably unexpected volume of fire in combination with the acoustic effect (especially if the previous suppressive fire was quite ammunition-saving) can have a lot of psychological effect for a short time and break the previous suppression.

Such a response would likely not require the normal degree of accuracy for suppression.