What personally tripped me up the most was thinking of airflow, agitation, and suction as independent entities, when really all three are working together. And depending on context, a term like "agitation" can include: suction lifting the carpet, the brushroll hitting the tips of the carpet, and then airflow lifting the debris. Then, I was getting caught up in which is more important than the other without a good enough understanding of these principles. And all three play key roles anyway -- even with direct air vacuums, suction is lifting the carpet for you -- so for the novice it's probably best not to get into which of the three is more important (leave that to you experts).
As far as understanding suction, or pressure in general, you all must've really paid attention in science class. Over the last few days, I randomly asked 10 friends and family members about their understanding of pressure. Eight admitted they really don't know what pressure is. All 10 have at least a bachelor's degree. It's possible airflow vs suction is more confusing for the average person than you might think. There's a video on YouTube (I can't find at the moment) where a shop owner is measuring suction on a clogged vacuum vs an unclogged vacuum. Both have the same reading on the pressure gauge, but obviously the lack of airflow affects the clogged one. That video helped me finally start making sense of the explanations that were written here. And it made me remember all the instances over the past decade when I couldn't figure out that my Dyson felt like it had good suction when I would put the hose against my hand, but I had to clean the bin and filter to get it working 100% again.
I also wanted to comment on a couple posts I read on this site and elsewhere. The authors of these posts made snide remarks about how "they're just vacuums", or "don't you have anything better to do than debate bypass vs direct", etc. I wish I could ask these folks, why the heck are you at vacuumland.org? This isn't mildinterestinvacuums.com! Even I don't understand why you have so much fun talking about vacuums, but so what, I appreciate the passion. In forums for my personal hobbies, I love getting worked up about things, have virtual frenemies, and all the rest of the drama. I don't know why, but it always gets under my skin when folks go into others' playgrounds and say stuff like that. Especially a "playground" that is the most valuable resource for vacuum knowledge on the Internet.