There's a difference between "control" and being a goal-scoring threat.
When you look at the saves that Reina made - and had to make - compared to Llloris, it's pretty clear to me that Spurs were the more potent attacking force.
And one of the Villa goals was an own-goal from Spurs. Or to put it another way, Spurs scored 3 times as many goals than did Villa players (or 4 if you count Alderweireld's og
).
Villa could have perhaps gotten a draw if they'd played a more conservative, less open game. But playing an end-to-end, open game generally suits Spurs very well.