Shower Thought: What if you were targetable during Zhonya's but still invulnerable for the duration?

Note: You would still be immobile and stuck in place, you'd just be invulnerable as a golden glorified statue. [sg-miss-fortune]

What if you could be displaced and moved around during Zhonya's Hourglass usage?

Would Lee Sin kick a golden statue around? Would Blitzcrank Hook a heavy-ass gold statue and pull it or would his arm literally fall off? Would Vi break her gauntlets trying to lift a heavy statue?

I dunno, I got bored after a couple bad games and had these thoughts for fun.