Everything is plot. If Kishi wanted to kill off Neji without discrediting Sakura's healing abilities, he could've made her absent there.
She was absent .:|
Neji was far away and sakura only heard about his death later .
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He was already dead when she knew.
Also shizune didn't heal him in the war either so your whole argument make no sense.
Again, it depends on what we're taking into account.
But if we're talking about healing quality - manga facts state otherwise.
When ? Sakura is far better than shizune .Tsunade told gaara to take sakura to heal naruto even though shizune was right next to her .
The manga clearly shows who is better.