Smokeybear
Emperor
No, actually. The limits of most settlers' lumberwork was to cut down a few trees to build a house, then clearcut for farmland. Most hills don't have any "minable" resources, and even if they did, most settlers don't care unless those resources are so valuable that it's worth risking death by starvation to seek those resources rather than farm their own food.
Bottom line: No settlers in history, unless you can show me even a single example otherwise, have ever gone to any land with any intention other than:
1. Farming (modeled by preference for food tiles) or
2. Getting their hands on a valuable resource which is so abundant and obvious that anyone could acquire it, e.g. gold-rushes (modeled by preference for resource tiles).
[Oh, or 3. Fleeing for their life from some unspeakable menace or disaster, but that doesn't really apply.]
Show me a single instance of a group of people saying "HEY GUYS! Let's uproot our entire families and go live on that hill over there, then dig in the dirt and just SEE WHAT WE FIND!!!"
The (main) flaw in your argument, is that it only applies to the pioneer settlers who first went into uncharted new territory with no towns or civilized areas around for many miles, and were truly 'on their own' to survive. Which in the case of CiV, only truly applies to the initial settler units. Of course food was their first and main priority.
But after a few turns in CiV, it isn't a couple settlers and their wives and kids and two pigs, anymore- it is a village, then it quickly blooms into a town/city. It rapidly morphs from a wild, basic-agriculture-only cluster of farmhuts, into a full-service town with walls, leaders, militia, craftsmen, forges, mills, and a lot of people needing a lot more from the territory around it than just turnips and pork chops. In relatively short order (in the CiV scale of things), minerals and timber are in big demand by the city, and industrious loggers and prospectors and miners should be doing what humans naturally do- extracting needed and profitable resources for the advancement of themselves and society. And they are doing it from the lands immediately surrounding this city, of course.
But no, sorry, the vaporous 'city governor' has deemed only lands with food production potential shall be 'picked' for use by the city, sorry. Farmers get their choice of any lands they want to develop, utterly free! Even epochs after the city has far more food than it could ever possibly use. But miners and loggers don't. Instead of having plenty of empty forest and hill in which to ply their invaluable trades, they have to go out and buy it first in order to work it, for some unfathomable reason. As if farmers have all the rights and privileges, and loggers and miners have none.
The argument isn't about whether settlers in brand new territories shouldn't get a premium on empty farmland wherever they settle, but whether the non-food resource lands around already-settled and bustling towns and cities with multiple different needs, and with the population, technology and will to exploit them, should still remain largely unavailable due to a governor that vastly underrates for acquisition any resource other than food. I don't think so. It is unrealistic, stupid, and far from historically accurate past the stone age.