When I owned my older model Subaru, it was clearly stated to me and in the owners manual that the engine must be running in order to lubricate the transaxle. The car was not to be towed more than a few miles unless the wheels were off the ground.
Dealers were required to have either a fronted end sling type lift or a platform tow truck.
-"You want to make it two inches - or, if you're working in centimeters, make sure it's enough centimeters for two inches."-Red Green