While the TV deal would certainly hand United more money, they would still likely have less to spend then City.
The only reason a new TV deal wouldn't put United out of sight of the rest is due to the humongous millstone of debt tied around its neck.
Including the Cheatski match, United have had five "wake-up" calls in a row without seeming to get the message. The game-raising Liverpool, playing at home, are well placed to give United its first loss of the season. Perhaps that would rouse United enough to take on and defeat City the following weekend, but with our collection of mediocre midfielders, I really don't see that happening. Two matches in a row playing a 4-5-1 (calling it a 4-3-3 would give United's attacking intent too much credit), could make for some very dull viewing and yield a disappointingly low number of points.
EDIT: I should say, "starting with Benfica and including the match against Cheatski..." I should also point out (for the pedants) that I am not including the Carling Cup match against Leeds in that run, because United have not yet reached the point where the first XI (or anything like it) start in that competition.