I'm not sure the definition of "family" farms, you can have a family name corporation that is still $100M+ in value. Even then I have no idea who all of them are.
My family farm is small enough they alone cannot support a entire family upper-middle class lifestyle, but the land is still worth millions. But they all have notes, good years mean the crop pays the bank and maybe some supplies for next year.
The USDA where I pulled that stat defines it as farms that have less than 1M in income (gross) per year. A farm that makes that much is going to only support at most 1 full time farmer. The further subdivide farms under 350k which clearly falls into some terrible definition of hobby.
Which tracks with my experience. I don’t know any family farmers where farming is their only, or even primary, occupation.