I know what you're saying, but what's going on here is that the switch box is inserted into the garage side, essentially up against the backside of the utility room wallboard. The "flexible cord" only has to pass through the one layer of wallboard (3/4") before passing through the knockout on the back of the switch box. So there is really no room for conduit or metal-clad.
And there is no reason for the flexible cord from the dryer to be encased in conduit, since it's right next to the existing dryer cord, and no one runs conduit in their utility room from the outlet to the dryer.
Here's a crude diagram of the thing:
View attachment 977413