OSRS and RS3 chain bans

Hello, I have a few questions Does anyone knows if you bot on osrs using proxy, and u get ban, can it chain ban to ur rs3 accounts? What about if somehow I accidentally created a bot account without using vpn or forgot to use the proxy one day, could it lead to my rs3 account get banned? And the other question (please forget about the previous one to answer this one, has nothing to do with this case), in rs3 I got banned for 48 hours in an alt account for macroing/bot, but I never ever used anything on rs3, but I do RWT with my main account, should I be concerned that it will chain ban also or that they will look into my accounts that I trade and see that I used the alt to farm gold and sell?
Thank you for ur attention. love this community!

 

I personally had a ban on 3 rs3 accounts while training them, at the same time I had 7x osrs accounts open on the same ip (home ip) I was hand training but the ban on rs3 was a macro ban (false ban) but none of my osrs accounts were banned. So I don't think rs3 and osrs have any connection in shared bans on ip/ chain banning