This is where I was essentially disagreeing with you. In the video you posted, they're similar. In the videos I posted, they're not. Azula's lightning bending and Cole's power (from infamous) are similar but Azula's lightning bending and Sasuke's Chidori aren't.
I'm not comparing the essence of the power but I'll use another of your examples.
In Naruto they have a lot more freedom when it comes to manipulation of jutsu's than TLA does with their bending. So in Naruto you can have a character that has a jutsu that is basically some sort of bending. But you can also have dudes that have super strength, can fly, teleport and all that mess which can't be done in TLA.
In TLA bending is confined to the elements and can't be manipulated to the extant that a jutsu can manipulate things in Naruto. Jutsu's can manipulate damn near ANYTHING.
If in TLA benders could manipulate their mind, reality, etc than it would be a stronger comparison to Naruto, but TLA is limited.
But just because every scenario isn't interchangeable doesn't mean the shows themselves aren't similar.
I'm saying you can do X in TLA and you can also do X in Naruto.
All your saying is you can do Y in Naruto but you cant do Y in TLA.
The shows aren't the same. that's obvious.
I'm talking about X which can be done in both.
Your talking about Y which can only be done in Naruto.
Just because things that happen in Naruto can't happen in TLA doesn't mean the shows aren't similar.There's almost nothing in TLA that can't be translated into Naruto tho due to the vast manipulation of jutsu's.