DEFINITELY NOT! I almost started a fire recently when the bungee cords pulled the router collet hard against the workstock while running and made much smoke. The cause was that when that lock lever is loose, the z-axis pawl can jump out of the detent in the router body.
That’s the right way. Adjust the tightnesss of the lever using the bolt in it so that the z motor can move it but there is no slop. I used some paste wax on the router body to make it slide more easily, others have used some UHMW tape to reduce friction.