I think part of that is how things are portrayed .... most types of widespread media/entertainment are based in large cities, so they depict what's easiest, cheapest, and closest to them.
On the other hand there are younger farmers who are taking advantage of social media to highlight and educate those who aren't familiar with farm operations or rural life. Some examples on youtube: Minnesota Millennial Farmer, iowANFarmer, Urban Farmer, What The Farm Girl, Nyfarmgirls ...just to name a few.
Thing is with farming being one of those high capital requirement, low margin, highly-variable risk life choices it's not exactly easy to get started..... and even harder to grow it into something where it can actually be a sole occupation to support a family.
So between how much as farming has advanced, and the size of the mutli-generational/commercial farms that exist farming has almost become an occupation for either retirement, those who were born (or got married) into a farming family, or those who are entering a niche part of the food supply. Given the cost of land, equipment, housing/construction, and the cost of the basics (seed, fuel, pesticides/herbicides, hay, etc).... it'd seem almost impossible to get started in traditional row-crop farming beyond the first two methods in the preceding sentence.
If I'm wrong at I'd love to hear how as personally I grew up spending a lot of time on my grandparents farm -- which ended up being broken up over time, with all the equipment sold off they they died as none of their children had an interest in farming. So when/if the total of all your possessions can fit in the back of an SUV, it may take a while and a few other career choices in order to be able to get back to into farming...... which is pretty much the route I'm taking (and starting small with what I'd call a large garden just to start learning more about the differences in climate/soil from where I grew up).
So I guess I hear what you're saying, and don't entirely disagree, but the problem probably isn't as bad as it seems in some ways -- and potentially worse in others since there are a growing number of people in the world who've never even seen living livestock, or have any knowledge of how/where their food is grown and there are enough to have a very large influence on government policy. Which is part of the reason why it no longer bothers me that some zoos actually have sections devoted to farm animals.