Is the cannon stronger than a chess bishop?
These answers restate the rules implemented by our open-source engine, which follows the WXF laws and is regression-tested against the official 110-diagram repetition casebook. Where an answer refers to a specific position, that position lives on the linked reference page, where the build verifies it against the engine before publishing.
Direct answer
The comparison does not really hold, because the pieces work on different principles. A bishop moves and captures along the same diagonal lines, unobstructed. A cannon moves freely along open lines but can only capture by jumping exactly one screen. Xiangqi's usual value tables put the cannon above the horse; chess's put the bishop roughly level with the knight.
Why the cannon is usually rated higher relative to its army
With no queen on the board, the chariot dominates and the cannon is the next most dangerous piece, especially with pieces still cluttering the board early on, when screens are everywhere. A bishop's value in chess is more stable across the game; a cannon's swings with how crowded the position is, strong in the middlegame and often weaker once material thins out and screens disappear.
What actually transfers
Almost nothing tactically. A bishop pin works because the piece attacks in a straight line with nothing needed in between; a cannon pin (see the pin) depends on there being exactly one piece between the cannon and its target, which is a completely different mechanism a chess player has to learn from scratch.
Related questions
Which piece is more valuable in the endgame?
Bishops tend to hold value better as material thins. A lone cannon with no screens available is far weaker, and cannot force mate alone.
Do both pieces stay on one colour or file forever?
Bishops stay on one square colour for the whole game. Cannons have no such restriction; they can reach any file given time.