The fact that he sprinted hard after the ball to close Hart down shows his intent. If he had been putting the ball out for a goal kick he would have been trotting back the other way. The ref should have booked him for unsporting conduct really.
Speaking of the ref, apart from not managing that situation at all, giving Sterling offside from a throw in (you can't be offside from a throw in), missing the penalty on Sterling in the first half, giving Villa a free kick in a dangerous position when Ashley Young seemed to have rejoined the club, adding only four minutes of additional time when the Gestede incident stopped play for three minutes alone, not penalising Villa for their blatant time wasting throughout the second half, and getting dozens of smaller decisions wrong, I thought he had a decent game overall.