I just proved in my previous two scans that obito warped faster than karin could even sense him.
Indeed, but you assume that sensors sens chakra instantly when it is nearby, when in fact, I don't think it was said or shown to be so. I'll admit I was wrong if you show me the appropriate manga page for that.
But even then, Obito's Kamui being fast doesn't logically exlude the possibility of Kakashi's being even faster, especially since Obito himself admitted so.
Saying that a kamui blitz wont work is wishful thinking, nobody has shown the feats to be able to sense faster than obito can finish a warp.
Still not a proof of Kakashi's Kamui being slower.
Btw obito has the same genjutsu...
I know, that wasn't supposed to be a serious argument. =D
Well, I can use the instance of Kakashi one-shotting the Demon Brothers from Zabuza arc without Sharingan, instead.
It doesn't affect the statement about Kakashi's Kamui being faster, but I still highly doubt that sensors sense chakra immediately. Otherwise, your statement about only Minato-reaction level ninja would be able to react to Obito's warp, so Obito would have no problem with capturing Bee, for example.