The reliable method would try out all pseudo-legal moves, and then generate opponent moves in each of the resulting positions, to see if any of those captures the King. All opponent moves will have to be tried to conclude the move is legal (which usually is the case), and on a large variant this can take very long (to the point where GC aborts the GAME-code execution).
Thanks to GAME Code being an interpreted language written in another interpreted language, it is not as quick at things compiled languages would do more quickly, and it will sometimes exceed the time limit that PHP imposes on script execution. This makes optimizations and short cuts more important, and in hand-written code, I have done this. See my previous comment about how I handled the spotting of check in Ultima as an example.
In automatically-generated code, it might be harder to get in the optimizations needed for particular games. So I would suggest a compromise between your quick method and your reliable method. Flag pieces that can capture a piece without moving to its space, and use your reliable method on these while just checking if other pieces can move to the King's space.
Thanks to GAME Code being an interpreted language written in another interpreted language, it is not as quick at things compiled languages would do more quickly, and it will sometimes exceed the time limit that PHP imposes on script execution. This makes optimizations and short cuts more important, and in hand-written code, I have done this. See my previous comment about how I handled the spotting of check in Ultima as an example.
In automatically-generated code, it might be harder to get in the optimizations needed for particular games. So I would suggest a compromise between your quick method and your reliable method. Flag pieces that can capture a piece without moving to its space, and use your reliable method on these while just checking if other pieces can move to the King's space.