It is all about trade-offs, but the tradeoffs have to be situational.
Considering only shutter speed and a “static” subject, you have to consider whether or not your subject is actually static. For example, are there flexible things present (plants, etc) and is it windy? For something like a desert landscape with zero motion your shutter speed can be as low as you want it to be (note that you might need to block some light from reaching the sensor using a ND filter). For “still” people you probably don’t want to go too low because we’re constantly in motion. That said, ever rule was made to be broken. Want to photo stars? Don’t use a super long shutter speed - you’ll get star trails. What’s that, you want star trails? Bump shutter speed even more so they look intentionally vs somewhat smeared balls of light. Sports and wildlife are basically the only scenario where you need a fast shutter speed… until you want some motion blur. Granted, motion blue and sports will still probably be a fairly fast shutter speed.
Aperture follows a similar arc - do you want shallow depth of field, do you want to see more of the foreground/background, maybe you forgot your ND filter and want a slow shutter so you have to stop down, maybe it’s really dark so you have to use a fast (wide aperture) lens wide open.
The only thing you universally want to take one way is ISO and that way is low. Unless you want some grain. Or you’re shooting something with motion indoors and you can’t compromise any more on shutter speed or depth of field. Or your lens aperture is already wide open and you still need more light.
When staring off you might want to try shutter or aperture priority, based on the situation, and let the camera handle the other two values. Heck, I still do this 95% of the time 15 years later.
I just learned these exist! They’re very cool looking.