I agree that political discussion generates more heat than light, and I agree that the company should be able to prohibit specific topics. At the same time, Basecamp’s definition of “political” is extremely broad (“every discussion remotely related to politics, advocacy, or society at large quickly spins away from pleasant”) and I don’t blame people for worrying that anodyne statements would fall under its umbrella.
To take a few hot-button issues from today: what if you’re Black, and a police officer racially profiles you on your way to work? What if your trans child is taking puberty blockers, or playing sports? Forget taking specific stances — is it acceptable to even let on to your coworkers that these things are happening in your life?