There are a couple different answers to that.
If you, like me, life in an old house built in 60'ties you will encounter a lot of those screw barrier terminals. It is what was used.
Today, and I'm speaking solely for Germany here, those screw barrier terminals are solely permitted for the installation/connection of lights. (Hence their German name "Luesterklemme/Lüsterklemme" "Luester" or "Lüster" = chandelier and "Klemme" = connector) (And as you can see in that picture, I installed a light
) The, lets call it basic variant of these screw barrier terminals is not rated for higher amps. (Only between 2,5 - 6 Amps which is suitable for lighting, as the lamp/illuminant limits the drawn amps)
Now it get's tricky because basically the same product, although rated for higher amps, exists under a different German name: "Dosenklemme" -> "Dose" = junction box "Klemme" = connector. Those may be used for other applications than lighting.
Personally I install lighting with the correct screw barrier terminal and make sure no wires are exposed/screws are fitted correctly. I rarely use the the junction-box type for other applications, if I do, same caution is applied as with the others.
As you, I do prefer Wago connectors for all lasting connections. If installed correctly, they offer the crucial benefit of having no exposed parts that could conduct electricity/current whereas screw barrier terminals (under certain circumstances) do.
I'd say, nowadays Wago is far more common than screw barrier terminals (except for lighting). And Besides safety, they are quicker and easier to install, too. All pros I know, use them - so do I.
I've seen wire nuts, but have not found one in my house.