public shaming other players in the forums is against the terms of service, and could be considered harassment. Please remove your opponent’s name from your post. Resurrecting a 6 month old thread is also bad form.
It is perfectly possible to play cards really fast, queuing a lot of actions before the rope finishes burning. The game takes a long time after that to continue the animation of all the actions which were done before the end of the rope, and that is especially true when your opponent plays the cards, since the animation adds also a short display of which card was played, slowing things down for you.
The animation of the red arrow is independent of the rest of the queued animation (the red arrow responds immediately to what your opponent is doing, but the other animations wait for their turn). I see very often arrows pointing at me, my minion and so on in quick succession, then one at a time the minions and spells do their things, log after the arrow is done.
If that does not satisfy you, and you really think the opponent cheated, then report them the proper way: