I have recently started playing online, and encountered the same issue in different games:
at some point in a game, I tap "end turn", draw 5 cards, and get to play another turn, without any intervention from my opponent.
I can then play any number of turns until the honor pool is depleted, without any play by the opponent.
Concurrently, I am also stuck in the game, i.e the clock keeps turning and the "next game" icon does appear. To leave the game, one must either:
- deplete the honor pool, thus ending the game.
- return to lobby
NB I was probably ahead in all the games this occured in.
So I suspect my opponents had forfeited, and the game kept playing.
This is just a guess, which might be totally wrong.