This variant is definitely very interesting, and could prove somewhat beneficial in learning standard chess.
Standard Chess(SC)'s castling operation is not reflected in this variant. Your king is already tucked away.
This variant does not reflect SC pawn structures. Space is too limited.
The value of pieces changes. Knights are going to be worth more than in SC, since they can now traverse half the diagonal of the board in two moves.
No opening knowledge whatsoever will be attained in this variant. Also, common opening motifs from SC (control the center, develop your pieces) will not be used.
Standard tactics from SC will not be used as much in this variant. Skewers and pins, for example, would be quite rare.
That leaves endgame practice, which could be a little helpful, but there's also endgame puzzles in SC - and actual SC endgames in SC.
If your goal is to further your understanding of standard chess, you are better off studying standard chess. This variant looks like a lot of fun, but it does not do a good job of teaching typical chess lessons, for reasons outlined above.