while the drawing shows a discharge flow control loop.
The minimum flow loops I know, usually are based on the pump discharge pressure, and are using more like on/off valves.
What you are showing in the drawing is using a modulating valve and is literally controlling the pump's discharge flow.
Configuration for minimum flow is correct as FV 15008 would be opened via FIC sensing minimum flow at predefined set point in discharge line,but locating FO downstream of FV may cause not having smooth minimum flow (and even may reduce desired flow) and would not necessary in minimum flow line.
If it is attended to let down the pressure in spill back flow line (as per mentioned in first post), it would be better using PCV controlling pressure in its downstream.