When I was planning my heat pump install I found it helpful to think about each aspect of the system in isolation.
There is a heat loss from the house to outside. This is proportional to the difference in temp between indoors and outside and is a linear relationship. It doesn’t matter whether your house is heated by a heat pump, gas boiler, oil, fan heater, this heat loss is the same.
There is a heat loss from your radiators to the room, this is how the room is heated. This is proportional to the difference in temp between the radiators and the room (this one isn’t a linear relationship, its more complicated). For the purposes of this, this radiator temperature is typically calculated as half way between LWT and RWT, i.e. the average water temperature. Its worth noting this is independent of the outside temperature, it wouldn’t matter if it was 15C outside or -10C the heat flow from the radiators for a given radiator and room temperature is the same.
This heat then needs to be delivered to radiators, this is a function of (LWT - RWT) * Flow Rate * Heat Capacity of Water
Finally the water is heated by the heat pump, again this is Heat Pump output = (LWT - RWT) * Flow Rate * Heat Capacity of Water
If everything is in the steady state, then all four heat losses will be the same. For example the house heat loss is 3kW, the radiators are providing 3kW heat to the rooms, the pipes have water flowing round at 3kW and the heat pump is providing 3kW of heat. If one of these changes, then the system is no longer in equilibrium and the system will alter until they come back into equilibrium (the room temperature changes for example).
The limitation for a lot of people running at a low LWT with radiators is the amount of heat which can be dissipated into the room through the radiators. In my case I can only dissipate at most 1.5kW to 2kW from all the radiators combined when running a LWT of 30C. If 2kW is being lost at LWT 30C and the flow rate is 7L/m then the RWT will be 26C. The heat pump would like to get it to a deltaT of 10C, so a RWT of 20C but it doesn’t have a variable to change to achieve that. The compressor is already at minimum rate, and the flow rate of 7L/min is the minimum the unit will allow, therefore things stay at 7L/m and a delta T of 4C.
If however I increase LWT to 50C then I can dissipate loads of heat into the rooms, if the flow rate continued at 7L/min then the RWT would be 35C, exceeding the 10C deltaT target. To prevent this the heat pump increases the pump speed to 10L/min, this gives a RWT of 40C. But as you can see the heat pump only needs to flow faster than 7L/min at really quite high LWT (at least for my radiators).
FYI a handy rule of thumb is that each 1C of difference between LWT and RWT at 15L/m is equal to 1kW of heat.