Yes sir, the tray mounts to your main caps and the pan is separate.
A w/tray is different on 360 vs the 318-340, because of the main caps are different, you have to have a w/tray that is slotted where they mount to the caps to allow for an install on the 360.
So the install is W/Tray, Gasket then Pan.
The W/Tray never comes in contact with the Gasket or pan.
The W/Tray has to be installed before your Oil Pump also so you can set you pickup height in case its to close to the Tray.