As the return is below the water level, it would be closed and you could ignore H.
A return to atmosphere, breaks the closed fluid path, then you have friction plus H.
Here the tank is open to atmosphere, so you have potential for open system flow, if the siphon fails. As Long as you can keep the siphon going without air bubbles collecting at the high point, it will work and H must be theoretically be less than 10m (33ft), actually 22 ft practically speaking, or you will lose the high water to the tank. Backflow through the pump must also be prevented.
If you want worry free, get a pump that can pump your flow rate to the pipe high point.
--Einstein gave the same test to students every year. When asked why he would do something like that, "Because the answers had changed."