In the past, farmers were far more numerous than smiths, so why is Smith a more common name than Farmer?

hi, there's always room for more discussion on this, but thought you might be interested in a couple of earlier posts about "Smith"; the first one does discuss "Smith" vs "Farmer" also

Why is Smith the most common surname?
Why are there so many "Smiths" out there? Were there just a shitload of blacksmiths in Medieval times or did the blacksmiths just produce a prodigious amount of progeny? OR Why is Smith such a common surname?