I meant over-powered, not original poster.

I know you did. I'll try to use different terms to make the difference clear.

The definition of annoying is different for every person, so its kind of hard to counter that when there are many different types of opinions about what is annoying and what is not.

Of course, but some champions spark much more irritation than others in general. Changing these to add more visibility or a bit more counterplay while making them stronger in other areas if that leaves them overpowered is not unreasonable.

I view Shaco as annoying due to his assassination capabilities from invisibility while a lot of people disagree, so is it fair that Shaco gets his identity taken away because I think its annoying?

I don't think shaco needs to change, despite being a nuisance at times. This example is just a tradeoff between gutting shaco's identity and making him less frustrating to play against. You just have to look at every champion and see if there are any changes that could make them less "annoying" to play against while maintaining what made them fun to play.

I think the yasuo dash cooldown is an example of something that could (possibly) make him less frustrating to play against while barely at all taking anything away from yasuo players.

I'm still against that change though, mostly because of the visual clutter.