I think socionics is probably deeply-flawed to the point of being invalid so I don't type people as EIE. I think typing someone as Fe type makes sense, though, and I don't consider AH to be likely to be that based on what I know of him. I consider Fe types as mostly being socialites or tabloid celebrities in most cases. AH primarily seemed like a typical politician after being a failed artist, similar to Churchill, so probably Te type.
I think if social introversion is considered equivalent to types, AH was definitely a social introvert, but I think probably Te is more socially introverted than Ni or Si in general, to the point where it is not even a contest. Which would place AH firmly in Te for me based on what I know of him.