If you want to make that argument, that's fine.
What I would encourage you to do is define the terms you're using, and don't assume that others are using certain words in the way that you mean them. I like that you've been explicit about your definitions here (although it may be better to describe rather than assert, e.g. "I treat unit tests as focusing on a single method", rather than "Unit tests should focus on a single method").
For what it's worth, I find the definitions you're using to be harmful (e.g. see http://chriswarbo.net/blog/2017-11-10-unit_testing_terminolo... and http://chriswarbo.net/blog/2020-07-07-more_testing_terminolo... )