With an inverter unit I'm not convinced short-cycling is such an issue ,never mind that the controller should have a delay/cycles per hour setting to assist.
But there are many options there in terms of modulation control for sure. Mine has three modes for fan and compressor control somewhat like the Vaillant- Day, Night, and weather compensated. All change the response in subtley-different ways, and then you've got the pump and your chosen deltaT for the system to consider.