Similar situation, but different...
I bought a commuter brand new - 2013.5 VW GLI. About a year outside of warranty and about 5k miles outside, my timing chain tensioner (oil pressure driven) failed causing the cams to jump and effectively grenade the motor by valves dropping into the cylinders. Started it up to go to work with heavy, what I thought, misfires, and shut it down.
Now VW was a royal pain to deal with, but they kept throwing the "we met our obligation" because it met the warranty expectation - it just failed immediately thereafter
After proving it was rigorously maintained with an accelerated plan, I eventually agreed to pay about 25% of the parts cost for a new one and they covered the remaining 75% and all labor. I HAVE to imagine that Toyota would step up for what is perceived as the most reliable brand. Could make for some bad PR...