alt Hacker NewsReddit also has a ban appeals process. But it's the same people you're appealing to - the mods.
Speaking for myself I generally will unban if people are nice and express understanding for why they were banned.
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Really depends on who the mods are. I got two bans on reddit:
First one:
In a programming sub, as there was over 10 years a rather known bug. Typical discussion goes off and using the bug as a example of issues that never get fixed in the language.
Short term sub banned for breaking the rules. The stated "broken rule" was one of those very broad one's where you can hit any discussion with. Appeal the ban, stating that my comments are based on facts. Pointed to the github, the 10 year long discussion. No answer beyond "you are perma banned for breaking the rules".
Got private contacted by one of the main developers of the language, as he noticed my banned status and was unable to get a answer from me.
We gone over the bug in PMs. Bug got assigned to somebody and fixed. Thanks for fixing that 10 year old bug.
That was my first experience with mod overreach. But that did not undo the ban for "being right".
Second one:
In a specific country sub, i noticed there was factual proven misinformation. Corrected the user in a lengthy post, with multiple links to news articles. Short term ban by a mod, for "misinformation".
Appealed the ban, got into a whole discussion with the sub mod. Told him that he is using his own opinion, not the facts. Stated multiple times my news sources from my post (not entertainment news but professional news), inc reuters.
Stated that he is not following the rules by using his person opinion as basis for the temp ban and asked for escalation of the ban review. Asked to show what rule i broke (never got a answer beyond his personal opinions).
Other mod came in, stated that i "attacked the mod" by asking for a escalating of the review, and by accusing the mod of not being neutral (i mean, using personal opinion vs official news websites = your not neutral).
Perma ban ... Kafka lol. As you can guess, never got a answer to what "misinformation" that i broke.
/Insert slap head emoji ...
What did the mods gain? Maybe that short dopamine hit for "winning" by banning somebody. Sounds more like losing if you need to ban based upon your opinion, and not the facts, but hey...
O, made new account, and back on sub. Never got banned again. Did i change my posting behavior. Nowp ... If i see misinformation, i come with receipts (links to actual reputable news articles).
Its like, what do you gain? Its just power tripping people that love to mod. There are good mods out there but a TON of them are just nasty dopamine junkies, that want to "win arguments" with bans.
I was banned from r/comics for saying a comic wasn't funny. Mod refused to unban me. Reddit mods are almost always complete jerks about banning.