This is not true in standard chess where pawns can be promoted to any piece without restrictions allowing for example nine queens of the same color.
In Korpalski Chess the same set of 32 standard chessmen is used throughout the game with the chessmen switching states between reserve, chessboard, prison, and sometimes they simply disappear from the game:The notion of check is identical as in standard chess: to determine if a king is under check we focus only on the position on the chessboard and treat it like standard chess.
With no White pieces in the prison a White pawn on the 7th rank cannot make a legal move. However, it is still considered to attack the opponent's king diagonally for the purpose of determining check. The Black king cannot enter into check from such an immobile pawn. Moreover, it is not legal to place a pawn from the reserve on the 7th rank if it would check the king in standard chess.
Checkmate is a situation when a king is under check and no legal Korpalski Chess move is possible. While check is identical in standard chess and Korpalski Chess, a checkmated king in terms of standard chess can still be defended from check by placing a piece from the reserve between the king and the checking piece.
Stalemate is a situation when a king is not under check and no legal Korpalski Chess move is possible. Similarly, a stalemate in standard chess is not considered stalemate in Korpalski Chess if the side to move can place a piece from the reserve on the chessboard.
Checkmate is the only way to win and there are several ways for the game to end in a draw.
There are many ways for the game to end in a draw after it reduces to standard chess when all pawns have been captured and there are no pieces in the reserve. In particular, insufficient mating material.
However, it should be left for the community to decide how to treat the 50 moves rule in Korpalski Chess. These endgames may involve complicated positions with many pieces and no pawns. Perhaps it makes sense to suspend the 50 moves rule here.