There are multiple type of loads and some switch ON/OFF every few seconds (electric ovens or hotplates) to regulate temperature.
Say your 3.7kWp array is split in about 1.2kWp small PV array and 2.5kW the large PV array and you set the limit to 1.2kW (not sure why you will do that but that is how the dual PV array was designed) then you have a limit set at around 1 to 1.2kW or maybe you set the limit to 2.4kW then you mostly have to levels.
If your battery can charge at 2.4kW then is fairly likely it can also charge at 3.7kW and so there will be no reason for a dual PV array.
Not quite sure what your setup is like so I can not provide good advice but the dual PV array will need to be controlled based on PV shunt current and not based on battery current for many reasons.
With a 10kWh battery the typical dual PV array will be 6 to 9kWp example 7.5kWp (split in 2.5kWp and 5kWp) with charge limit set at 2.5kWp
If your limit is set at 2.5kWp and you have that configuration with 1.2kW + 2.5kW array then the 2.5kWp array will always be connected and when it is not in full sun the 1.2kWp will also be connected. So maybe 2 to max 3 hours per day the small 1.2kWp array will not be connected and during those 2 to 3 hours it can be diverted to a DC heating element a 1200W (2x600W) element.
My setup is not that different as I have a 13kWh battery and a 9kWp PV array setup as dual PV array 3kWp + 6kWp
I have a 120A circuit breaker both for Load and PV so max Load is around 3000W (3500W inverter).
The PV limit is set to 80A so while sunny small PV array is sufficient and it may get to even 100A in winter maybe even 110A still OK for the 120A circuit breaker.
You can imagine if I use the battery current for limit and have say a 2000W load the large PV array will be connected and I will have 160A from PV array that will easily trip the 120A circuit breaker. Of course I could use a 200A or larger circuit breaker but the batteries may not be able to handle that and the inverter can not accept cables that thick to handle 200A thus I'm forced to use 120A circuit breaker to protect the cables going to inverter.
I have a total of 9kW of DC heating elements so during winter all PV array energy is used but of course during summer maybe 10 to 20% of total PV array energy will be used since I just do not need it.
I will say that you likely do not need a dual PV array in your case if you can ensure about a 1kW load during the afternoon.