Sifting, IMO from experience, does not solve the mass-to-volume ratio problem enough compared to just going by mass.

As a quick sanity test, if it did, serious baking resources would just always specify to use sifted flour (as this is easier and requires less equipment than a scale), but since they don't (e.g. Modernist Bread/Pizza, if you really demand a citation), you can infer that sifting is not effective in making reproducible results. Also, note e.g. chemistry is not done using sifted volumes (peruse quickly the amount of articles trying to assess the bulk vs "tapped density" of various powders: https://scholar.google.ca/scholar?hl=en&as_sdt=0%2C5&q=%22ta...). This should cause some skepticism about claims that sifting your flour is going to make baking results particularly consistent.

Sifting definitely helps remove variance (especially if you always buy the same flour and use the same sifting method into the same bowl, and then put un-needed sifted powder back into the jar), but IMO is far inferior to just weighing.

You're still right everyone overthinks home baking. Precision only matters if you are aiming for perfection, and even a horribly misspecified recipe made at home, but consumed fresh, is still generally going to be good, and definitely better than anything you buy at a supermarket. (And this is precisely why using a slide rule for precision is massively missing the point). As you said, there are many indicators that are more important to pay attention to.