No the rain started and then amaterasu went out - it didn't burn for 7 days and nights at all.I believe Kabuto just stopped, he never countered, just started praising it. Anyway, all those other guys fought Sasuke when he could only cast Amaterasu through his left eye, now....Sasuke has an entire Susanoo that wields Amaterasu as a weapon!
Amaterasu was burning when konoha got to the battle site. You're wrong! These are all manga facts.
Just before it started rain Amaterasu was burning
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Also Kabuto countered it using shed skin the same as Sasuke did. I'm not trying to say it isn't powerful but it isn't as strong as people will lead you to believe. I'll also add that Bee countered it with a simple substitution jutsu.
If Gaara hadn't intervened Raikage would have killed Sasuke on the spot whilst the raikage would have died later from amaterasu. I'm not trying to say that amaterasu isn't strong - but it has flaws just like every other jutsu, yet people never consider these when hyping it.It's true, Amaterasu is hyped. Let me tell you something Gatsuuga. Let's if Raikage wasn't saved by Gaara. Do you think that he would of survived the Blaze Release: Kagutsuchi? A jutsus that uses Amaterasu but has spikes to simply bisect an enemy. Do you think that a Susanoo Arrow with Amaterasu is a joke? Do you think that Blaze Release: Magatama where it can hit multiple targets is a joke? Sasuke has many variants and besides Kishimoto didn't make Amaterasu burn through objects fast, because then it would be too OP. Besides didn't you see what Itachi did to Nagato? His body was burning completely and if he didn't have Shinra Tensei he would have been fried chicken. Out of that list that you mentioned:
Raikage did avoid Amaterasu, but he expected to dodge it. He had knowledge of the techique. Nagato has Shinra Tensei which can push the flames away. He is the easiest one that can counter this technique. Gaara did no such thing. He used the flames from his Blaze Release to attack Gaara. Jiraiya used a scroll that doesn't mean he avoided Amaterasu. Kankuro didn't dodge the technique, he just simply removed the armor from the injured samurais. Tobi almost got killed by Amaterasu, he just survived thanks to his S/T techniques. Kabuto dodged Amaterasu? He dodged the arrow that's for sure, but he didn't avoid Amaterasu. Sasuke shot Amaterasu to prevent Kabuto from getting close to them.
For the people I listed I said they countered it. Sure amaterasu is fast (faster then blaze release) but that means nothing if people have time to counter it since it burns slowly (at least Sasuke's version compared to Itachi's). Also Kabuto got hit - but shed skin.
To me there isn't really a difference between amaterasu and blaze release - just two different ways to get it on the opponent. Blaze release isn't even a KKG just a fancy name Sasuke gave his move. Anyway if people have the time to deal with it once it is on them, it is way less affective.