#but itachi has a smidge enough gratitude to realise that kakashi is a good fighter and kakashi finds itachi really weird and offputting

[r3dlif3]

Itachi and Kakashi have a mutual appreciation for eachothers abilities and fighting prowess but they would not along on a personal level at all. Although, it's not a sense of hatred since at most Kakashi was just weirded out by Itachi's demeanour and bluntness ,despite him being the same in the past, and Itachi just does not care for Kakashis or anyone really on a personal level. The most he would is a mention of Sakumo being the white fang and how Kakashi has to carry that legacy on.

Kakashi is disappointed he didn't do more to stop Itachi but at the same time, everyone knows he wouldn't of because of his attitude and mentality during anbu being borderline suicidal so he probably wouldn't realise anything was wrong until a few days before the massacre and at that point Itachi was far beyond any point of return with how manipulative Danzo was.

They don't dig into the others live because of this reciprocated unspoken respect and have enough of a mutual understanding of eachother to be able to sit in silence long enough for it not to be awkward.