Re RAISE and ARISE: they are not pointers to the same place in wordspace in the same way that 1+2+3 and 2+3+1 are in sumspace.

Re your second point: I love wordle. I'd love a game with similar game play that obeyed mathematical principles. It seems that nobody has found the right set of rules yet! That's why I've been trying these once and stopping. I don't find their rules beautiful in the same way that I do wordle's.