And by the way this game is rated. I open with 1. h4.
Chess with Hunter and Witch evert823 - rychessmaster1

Since this game is rated, I won't share my tactical or strategical considerations with you or anyone else before I've crushed you.

I've sent vickalan a PM asking him if the Hunter is allowed to jump while capturing. The current rule description doesn't explicitly mention if he can or can't.

I have the confirmation from HorribleTimato, and pls find here the proper rule description for the Hunter:
The Hunter moves as a King when he does not capture.
But when he does capture, he moves like a Knight or orthogonally exactly two squares. While doing so, the Hunter is allowed to jump.

Actually we should pause this game till we have an answer, what do you think?
Tomato and I have been playing with the hunter. It's a good piece and the game has been fun.
After evert823 had a question, I think this is probably a better description:
Hunter (H) - The hunter moves as a king when it does not capture. However it captures like a knight or two squares orthogonally as shown in the following diagram.
This is a game between evert823 (White) and rychessmaster1 (black). The Witch and Hunter are added.
Explanation of the pieces:
https://www.chess.com/clubs/forum/view/list-of-pieces-used-for-bulldog-and-infinite-chess
General explanation of the general rules:
https://www.chess.com/forum/view/chess960-chess-variants/correspondence-chess-rules-for-variant-chess-proposal