First of all, yes, private entities absolutely can ban you from speaking on their property. The 1A only restricts the government from jailing you. If we couldn't ban people from this sub, it would be an unreadable mess.
Second, the problem with the lefts cancelling is it was usually just a handful of terminally online freaks, digging through hundreds of tweets dating back years to find one example of a person saying "nigger", usually as a joke. It was completely devoid of nuance and purely vindictive.
The right is using it to get women who work with children fired because they're glad a normie was murdered. Does any normal person want a sociopath like that near thier kids?
The problem is always just the left, not the tools they use.
Point being, yeah, it’s great to see some leftists facing consequences for being the worst kind of people, but let’s not confuse what’s happening with leftists to mean we have the power to keep this kind of cancel culture going: the system is giving you a win so you calm down because so long as you feel like some leftists are paying the price for being evil people, you have no reason to organize against them to gain real power over the system.