A throw away comment (as I am now at work) would be to say "well, if you can't handle open .."
Well, then I'll conjure up a counter example:
We have a new PP mechanic that focuses on a really hard NPC boss, you need a full wing to take it on adequately, or you are an ace pilot (really ace) and you can kill it yourself.
The catch is that you must race against the clock and be the first faction to score a set amount of kills of this really really hard NPC boss.
As we know, if we have more than one wing going at it, only one wing will receive the credit for it and only those who shot at it. (And this is decided at random which wing gets it if there is more than one wing that shot at it. So if some random wing just happens to drop in and land a shot at it at last health, it's possible that said individual's wing gets the credit).
This NPC boss is located in an instance that will spawn said boss by chance, the more player you have in the instance, the higher the spawn rate. (Otherwise it spawns random faction NPCs that you can kill to raise an insignificant amount of the boss NPC's spawn rate).
Now we make this mechanic essential to the success of a faction.
Now, how many Solo players are going to flip out and ask for substantial bonus for accomplishing the task in Solo?
How many people are going to ask for bonus in Open for facing player opposition?
How many people are going to giggle in private group with three friends?
I just want to point out how easily we can just imagine these scenarios and understand how frustrating it will be, and frankly the current implementation of PP does pretty much this, just in favor of private and solo. I can think of many scenarios where it will be equivalent of the current mechanic and implement it in such a way that it creates frustration for a certain mode or modes.
Sure, argue that ED is not a game like that. But think for a second, developers that cling so hard onto equality should just look away from a problem that is of the equivalence of this example? I think not.