You're probably working with a good atty. My best one (which I have not modified in any way) has a very easy draw. On that one I do notice some difference when I plug the center hole at the battery connection; but, like you, it's a marginal difference -- hardly any.
As far as the 700% area increase goes. The whole system is only going to perform as well as the weakest link. In a vaper's world, that's the smallest hole. In some attys the smallest hole may be at the ceramic slot because the coil and gunk is in the way. So no matter what, the atty will only draw as much as can pass through that particular slot. In which case, you could completely remove the entire brass battery connector, giving maybe a 10000% increase in area at the entrance; because of the limitations at the slot, not much more air will get through. A bottleneck is a bottleneck no matter how big the entrance or exit is.
Before I discovered the side air hole, I thought that it must be because the heating coil was surely too close to the ceramic slot. I removed hats, then very carefully pushed or pulled the coil so that there would be more air flow. I'm pretty sure that it helped some. But however it helped, it wasn't nearly as significant as the before and after difference that occurred after opening up the side air hole.
Not for a second do I think that this adjustment will universally work. I am convinced that there is some inconsistency in the manufacturing process for these attys. And there are probably different levels of inconsistencies for each part of the atty's anatomy. Some may come with heating coils too close to the ceramic slot. Some may come with a side hole that didn't get punched as much as it should or didn't get drilled as well as it could. Whichever part that has been most poorly endowed through the manufacturing process will be the part that most negatively affects the whole system.
Whatever it may be, from my recent purchase binge, two new attys came with wonderful air flow. Two of them came with mediocre air flow. And one of them came with horrifically poor airflow. My horrific atty now performs as well as the best atty I have ever owned. With certainty, the improvement happened when I expanded the side hole. That particular atty was probably of the poorly endowed side hole type. Your atty may be either an overall well adjusted one, or a poorly endowed heating coil type.
Long story short, the most effective way to improve air flow in a tight atty is to increase the size of it's smallest hole -- wherever that may be.