The problem is that “wiggle room” for speed is contestable in the sense that if you include the Sharingan, then it means that Pre-Cog gives Kakashi a bigger window to react to something than someone like Gai or Tobirama
It’s the same reason why Naruto isn’t outright light speed during the SSPC Form
War Arc Kakashi had an assload of Chakra that allowed him to spam Kamui, plus he was way obviosly faster than he was in the Pein arc when he fought Tendo Pein.
I wouldn’t make him faster or equal to guys like Tobirama, Hashirama and such. He’s relative to Obito even though he obviously planned to get tagged by Kakashi. I agree at the end with you he’s on the same relative tier as him tho