Yes, but this unfairly penalizes people simply using different accounts NOT intending to evade any ban (I'm talking very established accounts that are years old... My oldest Reddit login dates to the first few months of Reddit's existence! And it's now also banned.) but simply to maintain anonymity.
Kill me for having a "porn" Reddit account and a "professional" Reddit account, I guess, plus one to disclose health issues I'd prefer to keep private... And deserve to. I actually enjoy anonymously helping people get through issues that for very good reasons they are also posting anonymously about (think: victims). This mentality ruins that, and I am now prevented from doing that.
You can have multiple accounts on one IP. Plenty of people have throwaway accounts. Entire nations would be blocked due to CGNAT if it worked the way you suggest. They're looking at more than your IP address though (my guess is ip+useragent at the very least; the API rate-limited by useragent).
Your problem is that one of the heads of your hydra caught a ban, after which point everything you do is assumed to be malicious. Given the political nature of what you were banned for, there is no doubt in my mind this is intentional. It's not an overt act of discrimination if they just don't answer the phone after "accidentally" locking you out.
For your own sake, move on. Reddit isn't worth fighting for. It's just a bunch of schoolyard bullies squatting on the playground equipment, throwing rocks at everyone and crying victim. If you're not a member of a protected class (or pretending to be), they don't want you there.
Kill me for having a "porn" Reddit account and a "professional" Reddit account, I guess, plus one to disclose health issues I'd prefer to keep private... And deserve to. I actually enjoy anonymously helping people get through issues that for very good reasons they are also posting anonymously about (think: victims). This mentality ruins that, and I am now prevented from doing that.
Cue Martin Fowler's legendary https://martinfowler.com/articles/bothersome-privacy.html