"An airliner autopilot will happily fly straight into a mountain if you tell it to."
BULL EXCREMENT.
It might do so.
BUT, it won't do so quietly.
Trust me, you'll have all sorts of alarms and flashing lights going off in the cockpit and extremely loud voices telling you to "PULL UP. PULL UP".
These alarms and voices will start in very good time, more than enough time to enable you to take evasive action.
Thus, the only time an airline will "happily fly into a mountain" is if you ignore all the warnings.
Finally, there is the little question of "Minimum Safety Altitude" on the charts. All aircraft will always be above that. The only time they go below MSA is to land.