You make a very good point here. Currently the provided backup node is limited to 10GB, which is a lot, but probably not for what you are trying to accomplish. The Anytype folks have also stated that in the future they plan to charge for larger backup nodes, which may be something you want to avoid.
In the meantime, because syncing is p2p, I believe you can effectively self-host by just making sure you have an internet-connected machine always running the client app. In that way, there will always be a peer to sync to, even if your backup node is full and not accepting more data.
Synology Drive has all the features you want and with desktop (macOS, windows, Ubuntu) and mobile clients (iOS and Android). The potential downside is that you have to buy a Synology NAS to run it. I’ve had one for a number of years and I’m still very happy with it.
I also really like Resilio Sync. The downside there is that while the mobile client supports selective sync (you choose which files and folders to always have on-device) only the paid “pro” version of the desktop client supports it.