To paraphrase from around 19:10 of [0] - readings of games throughout the ages have flip flopped between two moralistic binaries; between a wholesome pastime for young children, and a depraved and immoral one suited for soldiers, gamblers, or angry youth.
In saying the game is "supposed to be" something one elides the nature of play: As players interact with the game's systems, they reify what the systems allow and encourage, not any particular targeted messages.
Simcity's presentation of homelessness is intentional. It could easily design this out and immediately disappear people who no longer have a home; it makes this exact kind of assumption in making Sims gender and race-blind. Neither does it present homelessness within a simplified framework where you just push a button to make it go away. It molds the issue into a front-and-center strategic consideration, one balanced against others.
Now, not every game can tackle every issue. What is presented in Simcity is a popularized conception of "problems a city planner must deal with." Different versions of Simcity have emphasized different parts of the city. Although more detail and more simulation can always be added, there's ultimately some pivotal focus it tends to revolve around, one which tells us the sensibilities of its maker(s). This is true even of Dwarf Fortress; the point of the simulation there is to deepen the storytelling and provide believable details about its fantasy world.
So, complaints about homelessness as it's experienced in Simcity are very much a part of the discourse - whether we say "it's not really like that" or "I have a better solution," the game is prompting a kind of criticism that doesn't appear within the typical news-reaction cycle.
[0] https://www.youtube.com/watch?v=DLDizDa_rXw#t=1150