Indeed. Differential-pressure ABVs will simply not work as intended in systems using domestic pumps with PP or CP. As Ric2013 notes, when using PP, the LH end of the ‘head vs flow’ curve is ‘low head - low flow’, as would be the case in warm weather when the TRVs are mostly closed or throttled down. However, this is just when the ABV should be opening to maintain the minimum flow to the boiler, but since the head is low it is exactly when it WON’T open. With CP, the head of most domestic pumps is virtually flat from no-flow to a high flow where it slowly tails off. Again, we would want the ABV to open for no-flow or low-flow, but if the ABV is set to open at the no-flow head, it will be open constantly except at peak flow.
And anyone who keeps one radiator permanently ‘open’ (i.e. without a TRV) may be misleading themselves that this is sufficient; it will only be so if the radiator is in the bypass circuit (i.e. in neither the DHW or the CH circuits) as towel rails sometimes are. Otherwise, when both DHW and CH motorised valves are shut, the boiler will have no cooling flow at all on pump overrun (assuming it needs overrun).
Instead of a differential-pressure ABV, what is needed is a constant flow bypass valve that is set to pass the minimum flow rate of the boiler. I use a Caleffi 127 Autoflow compact automatic flow rate regulator (usual disclaimers) that worked out cheaper than a differential-pressure ABV. One could add to the boiler infeed a flow rate sensor that opens a motorized bypass valve when the flow rate drops below the boiler minimum, or replumb to use a low-loss header (or closely-coupled tees), but the constant flow bypass valve is the simplest and cheapest solution.