Excellent find and discussion, King Jason!
So that seems like another wide-vs-tall balancing decision. Adding more cities won't screw up the amenities of your existing cities, but the more you have the harder it is to keep the new cities happy. If you're going to have a wide empire, you're gonna really have to work to crank up your numbers of amenities to keep the far-flung cities useful. On the other hand, if you're just picking up lots of cities you don't care about, you can just let them be useless and they won't mess up the production of your core cities or the combat of your units.
So that seems like another wide-vs-tall balancing decision. Adding more cities won't screw up the amenities of your existing cities, but the more you have the harder it is to keep the new cities happy. If you're going to have a wide empire, you're gonna really have to work to crank up your numbers of amenities to keep the far-flung cities useful. On the other hand, if you're just picking up lots of cities you don't care about, you can just let them be useless and they won't mess up the production of your core cities or the combat of your units.