If you're making a change without saying what it is or how to test it, and not writing an automated test to cover it then that would be a problem. It might be 1 minute in code, but that doesn't mean it's a 1 minute fix.
It depends. Maybe the 1 min fix is to add a missing test case for something that already works.
Spending 20 mins creating a templated Jira for that is a waste of time imho, but it depends on what you do. In some places that have externally audited traceability requirements that would be necessary.
Yes, I agree with that. I'd say that changes to the running codebase would need (slightly) more formality than changes to the test codebase, but yes, if tests are a feature e.g. because they feed into regulatory output, then they should also be ticketed.
I don't find that a Jira ticket takes more than 2 minutes to write though, so maybe there's a difference in terms of number of mandatory fields.