There should be a proposal for browsers to expose a property on the keydown/up/press event containing a code for the key combination. Something like "CTRL+S", "CTRL+ALT+S", etc. The programmer could then switch over this property rather than having to check key codes and modifiers manually.
I would also propose to any web developers that they build this property themselves in their own code and check against it instead of checking modifiers directly. Not only would it protect against bugs like in the OP, it would also be a lot more convenient to use.