Can we finally make Jax w work on turrets?

Now before the you all go and say “ we don’t need to buff Jax he is already op” hear me out on this. Off the top of my head Nasus q, Darius w, trundle chomp, tf w, Mundo e, and garen e all work on turrets. I don’t know if Mundo and trundles do extra damage but at the very least they are consumed and the ability goes on cd. Now with all these champions being able to use their aa enhancements on turrets why not Jax? Jax is supposed to be the premiere split push champion and this would help him a lot with that. Also considering Nasus q works on turrets I don’t think it would be a big deal if Jax w does. I know some people will say that because it’s magic damage it would be too good but then why can Ekko and tf use their magic damage as enhencments on turrets? I don’t think this change would break Jax I just think it would give him more split push power and allow him to do the same things some other champs do.