OK so looking at the page as it stands, I think I can make out most of the rules, so in that sense it at least more‐or‐less meets the minimum criteria for publishing. Nevertheless I feel it could be profitably edited to make the flow of information clearer. A couple of specifics:
‘In a row’ (Pieces section, Paragraph 1) doesn't imply adjacency in English; I would consider all the black pieces in each Diagram except the g7 knight to be in a row. ‘Adjacent’ would be more precise, or you could say explicitly that this applies even if there are no empty spaces between them, as long as there is one behind them
The descriptions of the pieces make no distinctions between rules (e.g. “moves & checks as in chess, unobstructed diagonal line”) and incidental observable properties (“can't capture a piece which stands on the edge of the board”); in general it's more useful to separate these out clearly — the latter is perfect Notes section material
It might be clearer to describe the details of the Ranging moves (and captures) outwith the individual piece sections, all in one go; it might even be sufficient to just describe how their captures differ from the orthodox ones (e.g. “Bishop, Rook, and Queen move and give check as in normal Chess, but capture differently as follows:” followed by the list of applicable rules).
You note that capturing is optional for the knight; is it possible for it to take one potential victim but not both? The Example clarifies that it can capture even if the other square it passes through contains a Friendly piece, but that might be worth making textually explicit too
Can a king castle if it's in check from a piece it would capture by castling? e.g. White Ke1,Ra1/Black Rd1? A literal reading says no, but it could be made more explicit either way
The requirement for a space between pieces to be captured by castling is inconsistent with the lack of such a requirement for all other pieces; why?
The distinction between giving check and winning by capture, whilst as you say shared with Atomic, I find very strange (in both games); saying that a threat of capture is also check would lead to entirely equivalent outcomes. But with Atomic as a precedent I guess this isn't in itself really a blocker for publication
OK so looking at the page as it stands, I think I can make out most of the rules, so in that sense it at least more‐or‐less meets the minimum criteria for publishing. Nevertheless I feel it could be profitably edited to make the flow of information clearer. A couple of specifics:
g7knight to be in a row. ‘Adjacent’ would be more precise, or you could say explicitly that this applies even if there are no empty spaces between them, as long as there is one behind them