I think DBD was probably going to be scrapped anyway because of low ratings. Netflix are quite transparent about how they decide to scrap shows, and that decision would have been made a while ago.
I don't know what the turnaround timings are for TV, but I know in Hollywood the rule of thumb is that from a movie being greenlit to it arriving on screens averages out at about three years. That's why, if you have a really baffling bit of casting, look at who was on the cover of Entertainment Weekly two years earlier (eg Brie Larson in Captain Marvel; two years earlier she'd won her Oscar and was the hottest thing around). It also figures into how you can tell whether Hollywood is pivoting away from woke agenda films, because what we're seeing now is what executives thought was a good idea three years ago.
Take that along with sunk costs, and I'm not sure we'll see a lot of Gaiman adaptations being cancelled quickly because of the stink around him. But execs will be nervous, and a lot of decisions (like commissioning a new series) will be put off for a while. I think it's going to be like Weinstein, where his projects gradually and quietly died a death.