With Nuno, they lost 50% of their EPL games with a -7 GD. With Conte they lost 19% with +30 GD. That's a very significant improvement by anybody's standard.
you're right about getting Kane to buy in being key to their success. But I think Conte is also responsible for this.
Also he's recruitment had been good. Targeted Diaz, missed out and bought Kulusevski, whose been a revelation for them.
I don't fear Arsenal getting top 4 as I think their position flatters them lot. Just look at the game against us. I do worry about Spurs because if they get top 4, Levy will buy in and back Conte. His philosophy will also be more ingrained so far he's only had 8 months.