If Tottenham wins today's match and Aston Villa loses to Man City tomorrow, then the number of points Aston Villa and Tottenham will have the same. And yes, that will potentially make Aston Villa lose their position in the following week if they fail to win again the following week. So I agree that in tomorrow's match Aston Villa must at least try to get a point, even if it's only 1 point. But I think Man City as the host will not let the match end in a draw. Because currently Man City is also in a race to get to the top of the standings. If Man City does not get full points, Man City will be even further behind Arsenal and Liverpool.
Tottenham has failed to win at West Ham's home field, though I was doubting Tottenham because it will be very hard to secure the full points. I mentioned before that if West Ham did not win against Tottenham, I did not expect them to lose since they understand their own stadium. Tottenham scored the first goal in the first 5 minutes of the match, believing they could easily get three points, but Zouma equalized in the 18th minute with an header. They finally draw and shared the point. Tottenham is now two point behind Aston Villa, if they won the game, the points would have been the same but with different goals.
Manchester City on the other hand, cannot afford to lose a point against any opponent, since they failed to defeat Arsenal in their last game. I believe they will not share points in this match, despite losing their first meeting at Aston Villa Stadium. Manchester City will host the game today, they will surely get all three points.