See T161460 for a quicker/easily implementable "short term" improvement.
Currently the default edit summary is
<foobar> using [[WP:AWB|AWB]]
When genfixes are enabled, it would be much better if the edit summary instead gave a more detailed description of what it did in the edit summary. Ideally, it would be best to have each fix documented, similar to https://en.wikipedia.org/wiki/Wikipedia:WikiProject_Check_Wikipedia/List_of_errors. But even with the current (https://en.wikipedia.org/wiki/Wikipedia:AutoWikiBrowser/General_fixes) it should be possible to create broad-category anchors in the page and have something like
<foobar> and [[WP:GFX|general fixes]] ([[WP:GFX#<Category1>|Category1]], [[WP:GFX#Category2|Category2]], ...) using [[WP:AWB|AWB]]
with Category1, Category2, etc., being the relevant anchor names, e.g. ([[WP:GFX#SetDefaultSort|SetDefaultSort]], [[WP:GFX#SetDefaultSort|SetDefaultSort]], ...)
For shorter summaries, an ID number could be assigned instead, e.g.
<foobar> and [[WP:GENFIXES]] ([[WP:GFX#1|#1ae]], [[WP:GFX#5|#5acd]] , [[WP:GFX#8|#8cde]]) using [[WP:AWB|AWB]]