Ok… looks clearer now.
This is a complex algorithms with a number of effects stringed in series or parallel or a combination of both. It can be recreated in Vsigfile, taking the time to learn the tool and how effects are created.
Not a problem for the H7600.
Regarding the pitch of the repetitions: it's normal that any subsequent echo repetition has its pitch raised or lowered set in the pitch shifter. In this case the delay used is NOT the pitch shifter one, but a separate delay placed after the pitch shifter. That will repeat the pitch shifter at its steady tuning.
all the best