The amulet of proof against detection and location (APADL) states that:
Whilst wearing this amulet you are hidden from divination magic. You can’t be targeted by such magic or perceived through magical scrying sensors
When the DMG was written, to the best of my knowledge, there were no divination spells capable of dealing damage so this wouldn’t have been an issue at the time. With the introduction of XGE we now have the Mind Spike spell which is both divination and deals damage and which specifically states that:
You reach into the mind of one creature you can see within range. The target must make a Wisdom saving throw, taking 3d8 damage on a failed save or half as much on a successful one.
Given this, whilst I don’t think that the amulet was designed to prevent damage, (it is only uncommon after all) would it do so?