Description
(Original issue below the line)
As suggested below, it makes sense to make texcache private, which need to go through a deprecation cycle. See https://matplotlib.org/stable/devel/contributing.html#api-changes for a more detailed description of what is required in terms of deprecating something. Also, see the helper function deprecate_privatize_attribute and how it is used in the code base.
Marking as good first issue since there is a minor, well-defined, change. But it may require a bit of reading up to get it right.
Documentation Link
https://matplotlib.org/stable/api/texmanager_api.html
Problem
texcache = '/home/elliott/.cache/matplotlib/tex.cache'
Suggested improvement
Not a big deal, but maybe one can at least add a doc-string stating that is points to $HOME/.cache/matplotlib/tex.cache or however it is actually determined.