It does. It is still a plug-type door. It pushes against 12 stop pads. This design has been used for many years, including on the 737-900 that predated the Max9. You can see the exit plug in this photo form 2007, before the Max was even a thing. Also, cargo doors have worked the same way for many more years than that.

They do it so that the door does not have to swing the whole way inside to fit out.