If you have an efficient inverter sized appropriately for your most common loading, the conversion loss is more like 8-10%. For a kilowatt hour, that would be 100 watt hours or about a 20th (edit; 20 minutes) of an hour of full sun on a 300w panel... if it is not on 24/7.
The standby load is usually larger than the difference in efficiency. That needs to be addressed within the system.
Dc power to all long duration, moderate current loads that are far removed from the batteries is no problem. For hard to get, expensive or otherwise impractical loads, ac power is convienient.
Dc lighting, computing/entertainment/communications, low load water pumping (sometimes high volume and pressure... distance and voltage) and like the post above illustrates, most everything if not all loads can be dc, it just takes a little more effort at integration.
This monitor/tv/display screen is available 32" at 16.5 watts lit and .5 watt on standby.
https://www.semiconductorstore.com/blog/2014/devices-that-can-be-powered-with-poe/657
If you look around, there are great and common appliances which translate well to off grid even with an inverter.
And this is a great way to power stuff with dc power and have some control an monitoring to boot, if you are into that. Witing couldnt be easier. 24v and 48v makes distance easier. Network switching can save power automatically when not in use.
https://www.google.com/amp/s/www.versatek.com/blog/why-power-over-ethernet-will-power-the-smart-building-of-the-future/amp/
https://www.google.com/amp/s/planetechusa.com/blog/poe-lighting-how-poe-is-revolutionizing-led-lights-in-smart-homes-and-offices/amp/