Solar Controller/Regulator configuration

[Hobby73]

Attached is a diagram of a simple layout for solar panels with a controller.  The basic controllers like this one typically have outputs to charge a battery, and another output to directly feed a device (load).

My question is, why do I commonly see the DC/AC inverter connected to the battery instead of to the device output which I would think is better regulated to provide a more stable 12VDC output than the battery which could fluctuate?

[ConKbot]

Few reasons
1) The inverter is already meant to run on a fluctuating battery voltage, and will generally include a low voltage cutoff to not over drain the battery.
2) most controllers I've seen don't do anything with the output besides switch ithe connection to the battery off when the voltage is low, so a simple LED light or similar load doesn't over discharge the battery. Some may regulate it, but that's not what I usually see.
3)for those that do, now you need a 300W/500W/1KW+ boost converter to provide a stable voltage to an inverter that doesn't need it because it has regulation internally when it generates the HV rails.

[Hobby73]

In addition to the helpful points made above, I found this explanation on a solar website:

It’s important to note that the inverter is connected and powered from the battery, not the controller’s load terminals as with the DC load. That’s because the inverter can have a high energy surge upon startup (typically with a motor), and this high current surge might be higher than the rated capacity of the controller, whereas the battery will be able to meet the high energy surge requirement.