Stevesharp, when you win long streaks of hands then yes, sweepering looks like it'll give you an advantage. But look at the first three hand of the sweeper you listed :
2, 2, 3.
If you win two and lose the next (MUCH more likely than the 10 winning hands before a loser) then when sweepering you make 2 + 2 - 3 = +1 unit. On flat betting this is 2 + 2 - 2 = +2 units. So in this more likely case, flat betting is better. It's the same for the first 4 hands. 3 winners and a loser gives +3 units for sweeper and +4 units for flat betting.
Essentiall, in the long run this all evens out and sweepering doesn't make you any better off. The less likely runs with better payouts are balanced out by the more likely runs with worse payout.