The really frustating part (i'm now still at chapter 5, about to leave for some place after meeting somebody very high up), (its generic, so not spoiler, I think?), and investing 60 over odd hours farming and whatnot, there doesn't seem to be a real mechanical rule.
E.G
Boosters are supposed to help you to get blades from a certain pool.
I'm going to have to use this pic (DO NOT CLICK IF YOU DO NOT WANT TO BE SPOILED) All discussion about the pool is marked in the spoiler.
» Click to show Spoiler - click again to hide... «

So, e,g, i'm trying to gun for say, KOS MOS, so it makes sense to put Zeke, and boost Justice. So I use 5 boosters at one go, (which means I have to farm boosters every single time), but I keep getting other elements, even when the boosters make the Light / Dark element way pointier than others. There was a video posted by some guy that made a bit of sense, e.g, if you're hunting for that one or two odd rare blades, (in my case, KOS MOS and Vale), three things can happen.
Stage 1: Justice is boosted, but it can still go other elements (like in my case)
Stage 2: If Justice pool is drawn (meaning light / dark, its a battle now between common blades and the rare blades, in my case since I already have Azami, its either Perceval, Vale, or KOS MOS, assuming if rare pool is picked). However, like in one video, the guy pulled around 20-40 wind elements before he found the last remaining rare wind element), all by boosting.
Stage 3: if the rare blade pool is selected, you're gonna have to pray if it lands.
TL;DR: too damned random.
seriously, the devs need to listen to players and stop making things DLC-based, especially now I've read up the furor with Xenoblade Chronicles X in Japan and English.
At this point I can safely say that boosters do not do a damn thing in the game, most of the blades I pull are from not using a single boosters at all. The times I actually use boosters, it would give me blades that are waaaay off the elements I actually want.
Now I just sell the boosters off to shops to make space if and when I'm salvaging and turning them in the trade market thing.