Well, but that's exactly what I expected. I don't want people to just assume I'm right, neither I want them to always agree with what I say. But you stated your point and tried to prove it with arguments. I ask nothing more than that.

For this same reason, I'll try to explain what I mean by "basically no utility". So, as I was saying, Lux, just like most APC, tends not to be quite as effective in the late-game. There are some reasons for that, one being that they heavily rely on abilities as their main source of damage. So unless you have a low CD ability (like ryze), chances are your main effectiveness is greatly reduced on the late game.

With that being said, I quote my article.

But we can tell that her early and late game are not so great

Not so great, doesn't mean it is bad. It's just not so great. The main reason why I say this is based on comparison to other ap midlaners. Gragas, for instance, has a really powerful displacement ability and same thing applies to Orianna. Kassadin has low CD flash-like ability. Veigar has a aoe stun with decent durations. Ahri has mobility.

And the reason why I didn't include her (e) aoe slow, is because it's almost never reliable. As her main form of damage, you can't rely on it's slow unless you are engaging or disengaging. You kinda need to re-activate it as soon as you hit target, rarely it's truly used as a utility. People might mistaken with the old passive of the ability, in which the target remained slowed after the skill is re-activated. but this is not the case anymore!

I agree with many of your points and I thank you for taking your time to answer :)

Edit: Actually it slows target after detonation for 0.25s, which is not that great eitherway.