I've owned several AWD Subaru's and several Chevy and Ford 4WD vehicles and have been warned by the service departments of each about mismatched tires causing drivetrain damage.
You can draw your own conclusions.
From the Subaru website:
Q: Do I need to replace all four tires at once on my Subaru?
A: Most Subaru vehicles other than the BRZ have Symmetrical All-Wheel Drive as a standard feature, and you want to be sure that the tires have close to uniform tread depth at all four corners. In extreme cases where one tire is a different diameter than the others (e.g., when a temporary spare is mounted), the All-Wheel Drive warning light may flash.
Subaru models contain the following warning in the Owner’s Manual: “All four wheels should be fitted with tires of the same size, type and brand. Furthermore, the amount of wear should be the same for all four tires.”