Caleb Williams' optimism rooted in solid ground this time

Bears quarterback Caleb Williams (18) passed for 231 yards and rushed for 70 against the Packers on Sunday. Michael Reaves/Getty

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Whether they’re excruciating or embarrassing, losses to the Packers often leave Bears fans without any hope, ready to fire everyone and start over. But Caleb Williams’ improved performance under new offensive coordinator Thomas Brown was a breath of life found in the rubble of a 20-19 loss to the Packers on Sunday — an indication that maybe all is not lost.

It was hardly a renaissance — just 19 points, with Williams throwing for 231 yards and no touchdowns (and no interceptions), the longest pass play 25 yards to tight end Cole Kmet. When you’re…