Rollup merge of #139867 - WaffleLapkin:tidypaper, r=jieyouxu

Fix some tidy paper cuts

The main thing this fixes is that currently, if you run `x t tidy` it will format ~6K files, even though it's supposed to format only modified files (whatever this is a useful optimization or not is besides the point). The problem is that `x t tidy` never writes the `rustfmt` stamp, so it always assumes `rustfmt` that was last used is outdated and we need to recheck everything. This PR fixes it by actually writing the stamp.

There are also some minor tweaks to comments/diagnostics. cc ```@Kobzol``` this probably conflicts with #138591. I didn't fix anything, just tried to document better the status quo.

r? ```@jieyouxu```

Author: matthiaskrgr