If aperture f/4 is the sweet spot, then f/5.6 is a close second on the Fujifilm X100F. It’s small enough to achieve a large depth-of-field and it’s large enough to achieve a small depth-of-field when focused close to the end of the lens. It’s very sharp. It’s got nice bokeh when you have a blurry background. It’s versatile, and I use it frequently.
Aperture f/5.6 is good for landscapes. It’s good for street. It’s good for still-life. It’s good for family snapshots. I use it anytime that I need more depth-of-field than f/4, or when there’s not enough light for f/8, or anytime that I need a good all-around aperture. Below are some example photographs of f/5.6 on the X100F.

Black Conduit – SLC, UT – Fujifilm X100F @ f/5.6

Where The Fern Grows – Bonney Lake, WA – Fujifilm X100F @ f/5.6

Sky Above The Canyon Below – Grand Canyon NP, AZ – Fujifilm X100F @ f/5.6

Watchtower Sky – Grand Canyon NP, AZ – Fuji X100F @ f/5.6

Three Old Dock Posts – Edmonds, WA – Fujifilm X100F @ f/5.6

Barnacle Heart – Edmonds, WA – Fujifilm X100F @ f/5.6

Mount Rainier Behind The Pines – Bonney Lake, WA – Fujifilm X100F @ f/5.6

Trees, Rocks & Cliffs – Grand Canyon NP, AZ – X100F @ f/5.6

Green Tree – Canyonlands NP, UT – Fujifilm X100F @ f/5.6

Mesa Arch – Canyonlands NP, UT – Fujifilm X100F @ f/5.6

Line Workers – Moab, UT – Fujifilm X100F @ f/5.6

Carrot Farmer – Syracuse, UT – Fujifilm X100F @ f/5.6

Jonathan Throwing A Water Balloon – South Weber, UT – Fujifilm X100F @ f/5.6

Umbrella Overpass – Edmonds, WA – Fujifilm X100F @ f/5.6
Dear Ritchie
Fantastic series about the F100X! Thank you so mutch.
Luc
I’m glad that you like it!