I have many issues with Zotero (which has been dumbing down at the expense of power users for some time) – but easy private sync is definitely not one of them.
From Zotero's site:
Data syncing is free and unlimited, and it can be used without file syncing.
https://www.zotero.org/support/syncLooking at my own Zotero account, I can confirm that all metadata storage is free and not counted (I am using none of my 300Mb storage in my account according to zotero.org, despite syncing metadata for several thousand bibliography items). The only storage Zotero seems to count is attachment storage, and that's all synced via my WebDAV.
What am I missing here?
(The poster I was replying to was suggesting that their departmental users would go over their storage limits for metadata alone, even if they used WebDAV for attachments -- but that seems to be incorrect from my own experience, and everything I can find online.)
Maybe Zotero does more than Wallabag, but I am happy with it so far.