Thanks. So this may be a hint as to how they ban people...
Prolonged online presence with a public header on Sky3DS.
From this, we can tell that there's probably a program that scans their servers for multiple uses of a single header. It probably doesn't scan often and is probably automatic. Once you are detected during a scan you may be flagged for banning after the scan is complete or on the spot as you are detected. Meaning if you play on certain times, you may go undetected?
The alternative is that as soon as you use an online feature, you are checked with Nintendo's servers to find someone who is using the same header. But, there aren't enough reports to confirm this one, because there are people who have gone online multiple times and for several days... So I'm staying hopeful that they're scanning at certain times.
Getting unbanned might also be automatic because I doubt they'd waste "manpower" by getting employees to time how long until you are out of "time out."
All just speculation/thinking out loud.
PS- If you don't have access to a gateway enabled 3DS, you could edit save files manually with the hex editor program.(I think, I've yet to purchase a powersave device and change my headers)
I also think there's a trick to editing headers. You have to have headers with the same manufacturer? Please correct me if I'm wrong.
PPS-
https://gbatemp.net/threads/how-to-...oob-private-header-questions-answered.388906/