Keys-lock & chord notes

Hi. I’m triggering bound chords using C2 and playing notes using the ‘Chord Notes’ Keys-lock option. I’m in Ableton Live. I’ve just realised that, say you are triggering 16ths for the chord notes, when C2 is triggered for the chord, a note is skipped. So it appears you can’t play the trigger note and the chord note at the same time. Is this behaviour correct? If so, is there a way around it? Many thanks.