I think it's very dependent on where you live.
The way we do it is to walk into the forest with the axe or chainsaw (often electric) and cut down a tree. After that we drag it home and chop it up with an axe using muscle power ;)
There are even books[1] about firewood and how to stack it so it's very ingrained in the culture.
But if it's done industrially with machines then you are very correct.
[1] https://www.bokklubben.no/livsstil-hobby-og-fritid/hel-ved-l...