Xin Zhao bug - infinite cooldown reducing due to Q not going off

Unfortunate I don't have a gameplay to attach, but this has happened consistently so creating a custom game to test it out will easily verify this bug.

When Xin Zhao uses Q, his next 3 autos are empowered and reduce his other abilities' cooldown by 1 second per auto landed, as we all know, and it works as long as he lands his autos - doesn't matter if he's attacking champion, minion, or turret.

When he uses Q to auto inhibitor, his auto attacks (though animation looks empowered) are actually not empowered and Q effect will not take place until he auto something other than inhibitor during the duration of the ability. The problem is, however, the cooldown reducing aspect of Q still applies when he uses Q to auto inhibitor.

What this means is Q would normally reduce his other abilities' cooldown by 3 seconds at most, but if he uses Q then auto inhibitor, Q effect will never go on cooldown because it's not triggered but cooldown decreasing effect still takes place per auto during the duration, resulting in his all other abilities' cooldown decreased by 20 seconds each if he lands 20 autos on inhib before Q's duration runs out.

Not too serious of an issue since enemy inhibitor isn't easily accessible to begin with, but I highly doubt this is intended.