Just building on this^
From an exam standpoint, the argument approach Coffee outlined is ideal. If you do get a comparative task, then it'll be way easier to transition between articles. And if you don't, then at least you have a more sophisticated approach than just starting from the beginning and working your way through. The author's structure shouldn't dictate yours!
Also, in my experience at least, the idea-level focus (or
the key player method as I call it) enables better analysis anyway. You're still talking about the language devices, but you use them as supporting evidence rather than your sole source for discussion. Pieces in the exam that just read like long dot-point lists run together don't tend to score well, so the people who just annotate everything they can find, then try to put it
all in their essay are unlikely to score as well as someone who has a good grasp on the overall arguments and how the language creates them.
For SACs though: the best approach is your teacher's recommended approach
Talk to them if you're unsure, and if they're flexible with whatever you want to do, then trial what feels most comfortable/familiar, or attempt something new if you think that'll better suit you