I definetely agree with this. What I meant by the 'right way to write' is about guidelines that people treat as rules. Guidelines =\= rules is what I meant.
This is where I agree and disagree at the same time. You see, I'm non-native English speaker(I know, it's obvious). Personally, repetetive words really irk me. I wasn't trained to ignore he\she said because I usually read hardcovers in my native language. So, repetitions in English irk me. That's why I prefer not to use it and use synonyms. I won't blindly use, for example, he\she roared or he\she whispered all the time either. As I said before, balance.
Use he\she said a couple time, when character mumbles definetely write he\she mumbled, when someone cackled use that word. When you are out of synonyms or fitting dialogue tags, use some action tags. And since you don't need a really huge amount of dialogue and action tags, you can prevent a lot of repetitions. Is it the 'right' way to write according to certain guidelines, tips or tricks? I don't know, and to tell the truth, I don't care. I think the way I write provide enough clarity for my target audience, and that's all that matters to me.