Two resources which helped me improving my writing, when I was writing my thesis were "How to Write Mathematics" by Paul R. Halmos and "Mathematical Writing" by Donald E. Knuth et al.
I would always start with Halmos to get into the spirit of perusing clear and precise communication.
The "Bad/Better/OK" suggestions especially reminded me of the discussions in the lecture notes from Knuth et al.
And at a third step a linter such as the proposed one is probably helpful, if something slips through.
I think these resources are essential for anyone who writes on any subject which at least involves definitions here and there.
I’m not going to lie, algebra wasn’t my cup of tea for a long time. Whenever you have a naive set of people commenting on a thread, my theory is that there is a category of folks who always take it too far leading to people feeling left out. An excluded middle if you will. I say education is at the root of the problem, and blame the state machine for that.
I didn't expect the downvote. However, I want to assure that I'm not being sarcastic or attacking. I'm just stating that an insight can be found anywhere, and I think that's wonderful.
I think these resources are essential for anyone who writes on any subject which at least involves definitions here and there.