I'm pretty late in the game (I didn't realize that the beta was so open until just recently, and the game is almost out anyway lmao, but I know you're thinking some post-launch additions eventually, so I figured I'd give my two cents).
Personally, I enjoy as much information as possible. For example, some of my favorite things from LLTQ have been dropped in this game, presumably to combat the overwhelm some people likely had with LLTQ - LLTQ's skill system is my favorite of all time. The way that adjacent skills could help snowball in your learning was wonderful, and the decimal bonuses were excellent. It made it so much more rewarding to plan out in what order I wanted to learn which skills to get the maximum benefit. The even numbers in GPZ feel much more newcomer-friendly, but makes building skills feel much less rewarding and fun in my opinion. Another thing I love from LLTQ is the flavor text about what you're learning with each class - part for its hilarity (I spent my mornings this week just getting poked and not reacting?), but also for its lore, and just the feeling that each class has an impact. Again, it cuts down on what many people might consider fluff, but it does have a subtle impact in how building up each skill feels.
So, you can probably predict my opinion on this--getting faction information, with possibly some fun flavor text descriptions about how the factions formed, how they interact with each other, etc. would be amazing. The electors and their relationships with each other are at the core of this game, and so far in my playthroughs, I've been left wanting just a bit more info in a centralized location... especially, though not necessarily, one that might keep track across playthroughs.
I still have many many playthroughs to go, but that is a theme I've felt so far - that this game has a large scope, and thus simplifies the information available to the player (probably for both developer time and also to be more newcomer friendly). I would personally love if, down the line, more details, both in flavor text, and in game mechanic info, get added for the player. Like--I won't pretend that LLTQ's skill system wasn't intimidating, but I feel completely spoiled for having those numbers. I feel like I'm going from playing manual in mario cart to only having the option for automatic. Sorry for getting off-track, but it just connects with how I feel about the factions as well--like, even without a centralized reference for me to look through, if there was flavor text I got to read each week while studying the appropriate skills, which told me a bit about the factions? That would make a HUGE difference in how it feels playing through it