I know VW and Audi use central clutch packs rather than a center diff, effectively locking the front and rear axles together, and only doing that when they detect slippage. If you run the system out of tolerance for the engagement, it will create a lot of binding by over-engaging the system. I suspect Subaru is similar, but don't know for sure - our 90's Subaru did not have a center diff either.
With the LR4, where you do have a center diff, my only concern would be if it was a locking diff and thus wanted to lock up due to the axles rotating at different speeds. If it's an open diff then I wouldn't have any concerns. You could mitigate things by letting some air out of your taller tires to try to compensate.
All that said, tires have a limited lifetime even if you aren't driving on them, due to the rubber aging and losing compliance. If you anticipate sticking with the 255/60 tires, why not commit and swap the spare too, especially if the existing spare is old.