Has nothing to do with quests, I had a couple of accounts that got 2-day ban with like 15 to 25 quest points max. I think it really has to do with the proxies (being virgin-proxies ofcourse) and depending on what u are botting.
Just do it, ban rates aren't that high if you don't do something that's too obvious. I haven't done it this invitational but last one I made around 150M (OSRS Money ofc)