I don't know if I'm even comfortable, in the consolidated corporate world we live in today, with the idea of large corporations issuing bans as retaliation for pursuing legal rights. Or for really anything besides bad behavior in there.
Under the narrow "right to refuse service to anyone for every reason (except based on a protected class)" reading, there's nothing to stop, say, Live Nation, to refuse entry to any concert for life if they decided they didn't like you, for instance if they found out you bought or resold a ticket through other than their own scalping service. Or if you sent a mean tweet about Ticketmaster fees. LiveNation controls a giant proportion of venues so they would have the power to do that and if you don't like it, they don't need your money.
It's not even about feeling bad for those who end up banned. It's about knowing that when this power, and the available data for them, becomes 10x easier and better in a few years and people realize it, it will have "a chilling effect" as they say, on how comfortable people are about participating in any speech or activity that corporations may not like. Like "Well, I support Starbucks employees to unionize, but I'm not going to admit it openly because I don't want to be banned from Starbucks for life."
Starbucks is a silly example, but there are so many real near-monopolies or duopolies that I'm very nervous about giving them carte blanche to use what will no doubt be dramatically improving tech to be able to literally query a DB, select all, "Ban" - or what about "Warn" - next time you enter a venue you're pulled aside and handed a brochure stating that "while you've been admitted this time, your access privileges to our venues will be revoked the next time you engage in any further behavior that damages our reputation or interferes with our ability to conduct business."