They still should have won in those years. They've done far more with less.
That offense in 2012 was the best offense of the entire 20 year run. 557 points. 5th highest scoring team of all time. 34 throwing TDs, 25 running TDs, including 6 by Brady himself. Welker, Lloyd, Gronk, Hernandez, Edelman, and out of the backfield he had Shane Vereen and Danny Woodhead.
Look at the players in 2012:
| Wes Welker* | 31 | WR | 16 | 12 | 2 | 20 | 0 | 11 | 10.0 | 1.3 | 0.1 | 174 | 118 | 1354 | 11.5 | 6 | 59 | 7.4 | 84.6 | 67.8% | 7.8 | 120 | 11.5 | 1374 | 6 | 3 | |
| 85 | Brandon Lloyd | 31 | WR | 16 | 15 | 0 | 0 | 0 | 0 | | 0.0 | 0.0 | 131 | 74 | 911 | 12.3 | 4 | 53 | 4.6 | 56.9 | 56.5% | 7.0 | 74 | 12.3 | 911 | 4 | 0 |
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| 87 | Rob Gronkowski * | 23 | TE | 11 | 11 | 0 | 0 | 0 | 0 | | 0.0 | 0.0 | 79 | 55 | 790 | 14.4 | 11 | 41 | 5.0 | 71.8 | 69.6% | 10.0 | 55 | 14.4 | 790 | 11 | 1 |
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| 81 | Aaron Hernandez | 23 | TE | 10 | 10 | 1 | 5 | 0 | 5 | 5.0 | 0.5 | 0.1 | 83 | 51 | 483 | 9.5 | 5 | 31 | 5.1 | 48.3 | 61.4% | 5.8 | 52 | 9.4 | 488 | 5 | 0 |
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| 39 | Danny Woodhead | 27 | | 16 | 2 | 76 | 301 | 4 | 19 | 4.0 | 18.8 | 4.8 | 55 | 40 | 446 | 11.2 | 3 | 25 | 2.5 | 27.9 | 72.7% | 8.1 | 116 | 6.4 | 747 | 7 | 1 |
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| 11 | Julian Edelman | 26 | | 9 | 3 | 4 | 45 | 0 | 47 | 11.3 | 5.0 | 0.4 | 32 | 21 | 235 | 11.2 | 3 | 56 | 2.3 | 26.1 | 65.6% | 7.3 | 25 | 11.2 | 280 | 3 | 1 |
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| 84 | Deion Branch | 33 | | 10 | 4 | 0 | 0 | 0 | 0 | | 0.0 | 0.0 | 29 | 16 | 145 | 9.1 | 0 | 25 | 1.6 | 14.5 | 55.2% | 5.0 | 16 | 9.1 | 145 | 0 | 0 |
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| 34 | Shane Vereen | 23 | | 13 | 1 | 62 | 251 | 3 | 16 | 4.0 | 19.3 | 4.8 | 13 | 8 | 149 | 18.6 | 1 | 83 | 0.6 | 11.5 | 61.5% | 11.5 | 70 | 5.7 | 400 | 4 | 1 |
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| 22 | Stevan Ridley | | | | | | | | | | | | | | | | | | | | | | | | | | |
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