There are certainly commercial (enterprise) software suites that many jobs would expect you to have familiarity with. If you were applying for a job with Atlassian then yeah I’d expect you to have familiarity with JIRA at least. There are lots of instances of businesses expecting you to have experience with specific not-free software, but it mostly falls under the category of work experience.
I mean there is quite a bit of athletics involved, it’s not exclusively female, and I don’t think it’s more sexualized than just…dancing. Also high school and college cheerleading is pretty different than the cheerleading in pro sports.