Getting kicked off the platform happens on HN itself a lot/ I get flagged on HN on almost regular basis (and my ability to reply/talk back is taken away) for speaking my mind (no curse words, just opinions that are others strongly disagree with) about Google, HN itself, Amazon et al. If I ascribe a n ulterior motive to someone in power, I get kicked off. Worse, sometimes I get attacked personally. So I think it's pretty ironic to complain about being kicked off on HN. This is probably my 50th username.
Who is referring to getting kicked off HN? I believe the post you're responding to, which said "If you're going to run a platform like this and capriciously threaten to kick people off of it," -- the "it" referred to Google.