I was listening to the Parkins and Spiegel bit with Cowherd just a while ago, and while it was an excruciating listen, the takeaway seemed to be this:
Williams and his camp have concerns about the Bears, but won't pull and Eli/Elway and refuse to play if drafted.
And honestly, anyone in his position would be an absolute fool to not have major concerns, as the franchise has done an almost inexplicable job of screwing the pooch throughout their recent history, and particularly their very recent history, and especially with regard to their offense/QB.
Plus they have a defensive HC who could end up on the hot seat very easily, so it's totally within the realm of possibility that he would end up in the same position Fields was in having a new staff within his first year.
But that doesn't mean he would flat out refuse to play for the Bears. I'd bet that he will, and that they Bears will draft him. But if I were him, the prospect would make me a little queasy.