Hey, thanks for reading my post, I'm glad you liked it! I would say the purpose of alphabet chess is to be unequal, but in a semi-predictable way. That's why streamers will use the "egg opening": it puts them at a disadvantage and brings everyone out of "book".
> positions where the engine may consider the position to be almost equal, but it could be objectively worse for one of the players
That is a good point, centipawns aren't the best metric for the subjective experience of playing. Engines are really good at defending, finding the "only move" defense where a human will struggle. And the mental work of finding "only moves" is pretty taxing. If you put someone under that kind of pressure for long enough, they will break.
The analysis is also flawed because it doesn't take into account the fact that the opponent is also playing a word. If I know that my opponent must play a "G" move on his next turn, I should play a move to take advantage of that fact. Stockfish's game tree is not eliminating impossible moves and will tend to overrate the opponent's position.
(As a concrete example, suppose I can make a move M1 where the opponent's only move to not lose immediately is an F move, but if the opponent plays it they are at an advantage. In this situation the opponent must play a G move, a fact which a human might be able to guess. Stockfish will not play M1, but instead play a different move M2 that at least maintains equality. So the stockfish evaluation is pretty flawed.)