I may be biased, but yes, it is important to be familiar with each of the chapters.
As lagomez mentions, it is typical to see several topics in each question. In fact, it’s less common for a question to really hang on a single topic. That’s actually a good thing for test takers—if you aren’t sure about one topic in a particular sentence, you can fall back on another. If you are uncertain about both, leaning toward a certain answer for two reasons gives more confidence than just playing a single hunch. But you can’t exploit this advantage if you study some topics and not others.
You may find the topics less “dry” when you see them in action on OG questions. I encourage you to do (at least some of) the relevant OG questions after reading, studying, and practicing the In-Action drills for each chapter, rather than saving all the OG questions for after you finish the whole book.
As you do OG questions timed, split and resplit [split = word(s) difference between choices that you can see when you scan the choices vertically], justifying each answer elimination using the rules you have learned. Later, as you review every question (not just wrong answers!) untimed, build confidence in SC by finding and explaining to yourself (or someone else) every reason each of the 4 wrong answers are wrong. Do so before you read the OG explanation--see whether you can catch every error mentioned in the explanation! The more topics you have studied, the easier this gets; it’s like having more tools in your toolbox.