Front landing gear doors open, sideslip, vertical winds, and of course, banked turns...all render the readings useless without an algorithm.
Vertical winds?? Banked turns?? I suggest they would have no practical bearing on the AOA. If the aeroplane is balanced in a turn, I'd reckon the airflow around both sides of the nose would be, for all intents and purposes, exactly the same. As for "vertical winds", that's all AOA is; anybody who's flown these types of aeroplanes would notice the stick shaker zipper bouncing up and down in turbulence when you're slow, but to say they are "useless without algorithms" is going a bit overboard.