So far, I have been utterly incapable of getting my iPad to do anything remotely similar. It can run syncthing, technically, but not in the background. Apps don't have a shared filesystem structure, so it's difficult to get anything else set up to "save within my shared folder" in a way that would work, and that disregards that the syncing cannot occur when anything else is open. There's all sorts of cloud backup options, but those require the internet and even when they're working, there's this awkward import/export flow that adds friction to the whole dance.
In isolation this would just be a small papercut, I guess, but these sorts of limitations are all over iOS. It's just terribly hostile to anyone not fully committed to the Cloud-first, Apple-hardware ecosystem. Android doesn't care, and doesn't have to care, because it lets me run the software I want. It's a really small set of programs too, at the end of the day. (Firefox with real extensions is the other one.)