Almost 48 hours later, no ban. I've transferred most of my money and items to my side account. I've been doing slayer, questing and barb-fishing.
I've used this same account for 10 years, so I'm sure I'll be able to get it back even if I do get banned. I found multiple posts of longtime accounts who were perm-banned for botting, but got their accounts back after appealing it. Jagex just reset the stats they knew were botted.
With all that being said, every minute on this account is still nerve-wracking.