there's no standard or compatibility chart.
"COMPATIBILITY" covers a lot of ground.
(1) Can the lines be properly connected? For instance...goof-proof connectors may prevent this kite from even hooking up to the bar and line system.
(2) Will the kite perform properly when flying? For instance...unequal front and back line length may prevent properly powering and depowering the kite.
(3) Will the safety system work? For instance...using a rear line "Oh Shucks" handle may throw a bow kite (with front and back lines connected by a pulley system) into fully powered spirals.
The first step toward making up such a "compatibility" chart would be to list all the pertinent factors, starting with the three I have given, as an example......BUT, even if you had a complete list, and everything matched up as being comparable, a smart kiter would still want to check out everything...and to do this, the kiter would have to completely understand the principles that allow a kite to safely and correctly function.