Lyman, prior to climb, it's more horizontal than it is vertical. These vanes and the systems connected to them are *designed* to cope with conditions like this, otherwise you'd have minor emergencies as a result of every moderate turbulence encounter, which just isn't the case.
The Stall Warning comes after the initial pitch up command by a matter of a couple of seconds. The aircraft disconnected autopilot due to UAS and followed the PF's commands into the climb, not vice-versa.