Pulisic is talented, and would have liked to have seen him at Spurs eventually, but I'm not sure that he is ready for the Premier League just yet. He definitely needs consistent playing time, and I'm not sure Chelsea is in a position to give him that.
https://fivethirtyeight.com/features/can-christian-pulisic-possibly-live-up-to-the-hype/
Great read. I agreed with you until I read this article. Now I can't wait to see him in a Chelsea shirt.
Bottom line is the numbers Pulisic has put up proves he is one of the best youngsters out there. If he was German, French, English, Spanish, etc the whole world would be raving about him. But the fact that he's American makes people look at him more skeptically, even fellow American fans.
Like you said, hopefully Chelsea gives him a fair chance to succeed. We'll see who comes in and out this summer.