I've heard conflicting reports. I'm on PS4 doing a new play through with perk and have not been able to get it proc on Quest turn ins. I even reloaded 10 times for the 10% at 1INT.
Idiot Savant still works with 11 int. It will proc randomly anytime you get exp for anything. Quests, building, etc. Not very often at 11 int, but it works.