With a hybrid system the charge controller shunts DC directly from the solar into the battery pack, and then when you want to the battery power is then taken from the pack and pushed through the inverter into AC for your house. Some systems allow various battery sizes and inverter sizes to be combined, so you can be limited by either the inverter or the continuous output of the battery, which ever is lower. So if you only had one of the LUNA2000-5-SO 5kWh battery packs attached, the maximum output is 2.5kW, if you have the 10kWh model that is doubled to 5kW, and the 15kWh remains at 5kW also.
Some PV installers don't bother to mention this when you are having a system installed, so you could end up with a real imbalance when you require more power, and need to draw from the grid more often to achieve this, thus extending your payback time and increasing the energy bill. It could be something a simple as boiling a kettle, or an air-fryer at the same time as wanting to have the gaming PC on full tilt, and a big TV.