They wanted him less than they wanted Grealish which says something about how they view/rate him
Grealish had a release clause though. It was a very simple affair to put down 100m and Villa couldn't do anything, from there it was all on the player. The Villa chairman came out and said they would've rejected the offer if it wasn't for the clause.
I believe City wanted Kane and had him as a primary target, but simply didn't want to be drawn in to a standoff with Levy. The onus was put on the player to force the move and we all know how that went.