The Android app deficiency is probably because Apple & Microsoft totally dominate the tablet market, and academics generally aren't interested in managing references on their phones ;)
Zotero shipped their first-party iOS app a little over a year ago.
It looks like people are asking for a better reMarkable solution, and I'd love to see that too! In the mean time, the zotfile plugin has solid tablet-syncing features. It isn't slick like modern cloud sync services, but it's functional and fast when you click the button.
Sadly, no full-featured Android apps.