I disagree with this sort of bifurcation; it's a dramatic over-simplification and frankly disingenuous. Going by your description virtually everyone belongs in "Camp 2". Let me break down the points cited and show why separating out FP production from the cited examples is a problem:
1. "GvG"- The most important aspect of GvG (other than being around at calc) is leveling your Traz and AO to high levels. Ideally, Zeus/CoA/CdM as well. That means leveling GBs, and that means FPs, so GvG players would largely be in "Camp 1"
2. "A pretty city"-Beauty is in the eye of the beholder, but as a general rule aesthetics and FP production are not mutually exclusive. The Cherry Sets are an excellent example.
3. "Neighborhood PvP"- Getting through defenses requires high attack, and the best way to get that is to level your attack GBs.
4. "Helping their guild"- You mean by leveling the Arc to increase treasury donations? That's takes FPs. Being active in GvG to move up in rank and earn more crowns? See bullet-point #1. Completing 64/48 in GE? If you're fighting through level 4, guess what you need-high attack. How to get it? I think you know where I'm going with this.
5. "Progression"- IDK what you mean by this, other than progressing on the tech tree. Guess what that takes?
The bottom line is that FPs play essentially the same role in FoE that currency does in a market economy. Trying to separate the two from each other just doesn't work.
I have in the past been a GvG player... I certainly am by no means in camp 1 - because more traz levels won't improve what I can do in GvG, I already don't run out of troops. If anything what I need is more GvG-aged goods and even that is a stretch - mostly I need more patience or reliable other players to make GvG feel less like a (largely automated) chore. The most fun I used to have with GvG was when it was *hard* and taking out a loaded sector felt like an accomplishment. It's hard for hitting auto hundreds of times without even looking at a battle map to feel like an accomplishment.
I would be a hood PvP player, but it hardly feels worth it anymore - what i can win from it is insignificant compared to spending the same time running quests for instance. There's been the occasional GB to improve that aspect - but atlantis isn't really enough without better targets to plunder. All the big event prizes being motivated crap is a big issue.
By helping their guild I mean any number of things that can work towards building a fun inclusive place that people want to be involved in. It could involve help with tangibles (yes including FP, but also goods, guild power, treasury goods, support pool (if it really mattered)), but it could also just involve being one of those people that drag others into actually talking rather than running silent
By progression, yes I mean tech tree (or story, which twins with tech tree). You know what that doesn't involve mostly? Building GBs that will return the FP you spend to level them a year later. In fact those buildings are a trap towards progression for the most part - the tech tree does not require hundreds of FP a day to keep up on. So many players find themself sitting in a lower age for eons because 'they're not ready' to progress while the people whose cities they're trying to emulate at the top passed through the age they're sitting in in less than a month for sure. And largely the shiny new GBs being built are being built because 'what the hell else am i going to do?' and certainly not because 'they're a new must-have for HMA players everywhere'.
Reasons progression stopped being a carrot for me:
1) no new GvG maps - the age-locking nature of GvG was able to encourage you to care about the new age's units even if they weren't any good
2) continent became a trivial auto-fest mixed with scouting time-sink rather than puzzles to figure out once my buildings went hyper
3) new units were frequently just more things to kill with hover tanks which really killed the idea that we were actually progressing
4) too much FP made getting everything the day it comes out easy absent an irritating artificial block like prom/ori - since it's something I can just save up for and do whenever I want, why should I start working towards it now?
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Point is the game currently lacks things for me to feel I should try to accomplish - a level 180 arc is not something interesting to accomplish for me and if that's all there is ever going to be, I may as well just quit now. GBs are a tool towards accomplishing things I feel are worthwhile. I need new challenges, and then I'll care about new GBs that can help me meet them. In the arc they gave us too much power at once and it removed much of the motive to seek new power. They've followed it up with increasingly frequent events with increasingly powerful prizes and it's not hard to hit 200 FP a day even without GBs now - and there's no challenge in the game that requires that much FP other than raising GBs higher just for the sake of raising them higher.