Chess variant with orthogonal knight moves

Hi, so I've kinda fallen into a rabbit hole on the topic of knight movements. While doing puzzles I had a sort of noob revelation, that the knight moves in a sort of a circular pattern, without the farthest squares (ergo 3 squares orthogonally) and had a thought "wow, this is so much easier to explain as a rule about this piece movement". I started digging in the history of chess looking for an information if in any historic chess variant the knight or it's predecessor moved in this circular pattern, with the ability to jump or move 3 squares orthogonally, but found out that in the oldest found "rulebooks" the knight always moved in the "L" shape and that this was sort of chess signature thing. So I understand that probably a lot of people will consider this post as a totally noob question, but it just can't leave my mind and I just can't seem to fins any relevant info.

So, do you know about any chess variant, with the standard ruleset, 8x8 board that uses the orthogonal knight movement? Was there some grandmaster playing with this idea? Would it completely break the game, with some crazy broken checkmates or would it just introduce new mechanics making the knight a much more relevant piece worth like 4 or 5 points of material.

tl;dr super - knights food for thought