This isn't true. Banning is _per-subreddit_, done by the respective mod teams. Your behaviour would need to be especially egregious for it to be picked up by the admins.
> Leftists naturally following a very North Korean and censorious approach.
Ah, I see. Makes complete sense.
Reddit will ban your IP and all accounts corresponding to that IP for alleged ban evasion of a single sub ban.
So no, banning isn't per subreddit or the alleged ban avoider would be just banned solely on the specific sub they have been banned before.
Is this anecdotal, or do you have more information about this?
In my experience the admins do not care about subreddit bans and only get involved when a person is consistently rule-breaking and evading bans.
Moderators of large subreddits don't even have a direct line of commutation with the admins anymore. There used to be a dedicated Slack where mods could escalate things.
I moderated dozens of large subreddits, many defaults, until a few years ago.
I'd love to know what makes you more experienced. Perhaps some concrete evidence?