Private Lan TDM vs Online TDM. Huge difference!

I use to play TDM vs bots to improve accuracy and wallbounce/movement.

I do a private match/LAN. But wallbounce shows a big difference in movement when I play again online…so no use to practice in a private match anymore?
In private match movement is faster…somebody knows why?

Im pretty sure its just connection/■■■■■■ servers. I stick to walls like crazy in pub matches its almost like your character has a stroke and cant run around compaired to private matches. Its frustersting .