A mis- behaviour of the STS / Elevator feel system as a result of an Air Data problem ist indeed probably quite high up the probability scale as a main culprit for this one.
Perhaps don’t call it a mis-behavoir as it’s doing what it’s supposed to, based on the ASI inputs. Recognising and responding appropriately is the key.
Some of the first checklist items are to start switching things off.
You’d be behind the 8-ball the whole time if this failed and if you tried to turn around before you were stabilised.
Can the input source be switched on the STS? (I’m assuming it could be)