Hopper is recieving but not depositing items

A 2-clock is connect to (1-tick-delay repeater, on the left) and (2-tick-delay repeater, on the right). Hoppers are connected as to transfer items to the chest on the right.

What I expect is that an item inside the top-chest get through two hoppers to the chest on the right directly (as if the redstone circuit do not exist).

However, the hopper, with 2-tick-delay repeater (right one), can either receive or deposit item at a time (and receiving seems having a higher priority). I expect the hopper to receive and deposit at the same time.