CarbonBlue's addition to the OP is not to be confused with a "series of random renders", which is oversimplifying (though that may have been the point of your joke). For instance, if the MC has made the correct choices any one of the ladies might be more interested in him. It just means that this is basically a peek at a small part of the characters' lives. In this case, the MC arriving at the house and starting to live with everybody there, developing relationships with them (possibly even more sexual and/or romantic). What is
seemingly arbitrary (but isn't necessarily so) is what part of the characters' lives is depicted: why this segment of their lives over a different one? It's often not revealed and not obvious why.
Just because there may not always be a plot to a SoL story doesn't mean the story is pointless. A plot has very specific elements (introduction, overarching problem and a need to resolve it somehow, character development, conflict, resolving conflict, a climax, denouement, and so on). Many of those are typically absent from SoL stories since, in someone's
actual life, there are many points where there really isn't anything like a plot but rather just going through regular, more mundane activities. But SoL can offer characters' perspectives, offer new ideas to mull over, provide humor (like with
Unleashed), etc.
All of the above said, though, there are some creators who don't seem quite to grasp the idea of SoL, either. A slice-of-life story should avoid becoming boring by providing
variation in mundane activities. For example, it unlikely there will be another shopping trip in
Unleashed (though this particular story does specifically try to mess with the expectations of its readers / players as well). But maybe there will be laser tag, or there will be a cutthroat board game, or there will be TPing someone else as "vengeance" for looking at Shannon the wrong way, etc. Changing things up like this helps keep casual events more interesting without needing an actual plot.
What do you mean by "story progress"? Given
the dev's post just a little above yours, you shouldn't be expecting "story" in the typical sense of the word. This is slice-of-life, so it won't have a real plot like most stories do. I'm not saying what you should or should not do with your own money, but it sounds like you may have had incorrect expectations about
Unleashed.