I always thought it interesting that H&K added a firing pin lock when they revamped the AR.
And while the AR may not be absolutely drop safe, it is practically drop safe, especially if you aren't chambering and rechambering the same round.
I'd bet that a dropped 870 would "let go" way more often than an AR. One of the "tweaks" to the police model 870's is an enhanced sear spring to make this less likely.