When people were good shooting with open sights they were fast with it. The straight stock is a boon to fast point shooting. Moving targets weren't out of the question either.
In those days a "solid" hit was enough, and then ring the neck. Thats if the farm dog didn't get there first. People just weren't as squeamish as today.

Webley were also playing with their Telescan Scout Sight. The system works, but not with the cheapo telescopic sight that Webley used.
The Single Point Sight even had its advocates.

The C1 was to cater for fast farmyard shooting. However, progress was going to heavy deliberate telescopic long range sniping; read HW77 with Moonlighter scope. But at least the C1 didn't need to shoot accurately beyond 20m, just get a solid hit, which was about Webley's build quality.

Now C1 would be considered a fast pointy plinker. Which is what they are. They were inexpensive which was the other great feature.