From the Bengals website:

[3wt]

(09-07-2018, 12:50 AM)Bengal Dude Wrote: Woodside left on bad terms. Dehner mentioned that he was late multiple times to team meetings and didn't seem to take it too seriously. The team was also pissed about the DUI. I don't think they had any intention of adding him to the PS.

Which is cutting your nose to spite your face.  When you replace a problem player with a worse player that's just stupid.

You wait till you find a better player then cut the guy.  In the mean time the DUI was built in protection for keeping him on the PS while you try and grow him as a player and professional.