for time to a true dimension it would have to affect things if it ceased to exist.
the thing is that time can cease to exist but not affect the existence of things. but take away a things length,breadth and depth, now you affect a things existence. it becomes non-existant.
for time is nothing more than a measurement of movement. and movement is based on matter. its energy and interactions with other forms of matter. which in the end actually dictates what time it takes to come to certain result. it has nothing to do with time, in and of itself.
time is nothing more than a point on a coordinate system.
time is a mathematical concept, not a real dimension