My post wasn't about the 'ore' it's about breaking the stalemate that has developed.
It's about providing 'incremental' increases in power and material for each gamma island; it's also not about limiting resources, they are still infinite, they just aren't always where you want them.
Ideally, the game mechanic should create a situation where this string of events occurs repeatedly over a period of time;
1)A large corp, or alliance, puts a terminal down on gamma.
2)They fight for X amount of time, gain control of gamma.
3)Build defenses while they mine.
4)Hold off attacks until Ore is depleted.
5)Try to put terminal on another Island.
6)Rinse and repeat.
The strategy here is to have more resources after each cycle. This requires prudent planning on defeneses and not just spamming T3 everywhere, since it's unlikely that the base will be permanent. It also adds some depth into how you attack an outpost too, since you can reuse turrets from the loser, you save on your own resources.
If you miss manage, an alliance could end up taking a gamma, but get less material out than it cost to take it.
Remeber too, that there will always be say 1000B units of Epi, if all the gamma's are being mined, that Epi will gather up on the Beta islands, and stay there until it is mined out; like Zoom pointed out.
If a Corp decides to just 'hold' a Gamma, and wait while the other Islanders mine, they could end up with very rich fields indeed. But, the equation of war is much easier to balance when the target is rich; meaning that the Corps that are strip mining islands, will soon attack, and with much vigor. The defender didn't mine, which means they didn't have the ore to build 'super' defenses. Even if the defender has a huge mech fleet, they may not have enough bots/modules.
-PVP will be important, on both sides. Attacking and defending.
-Mining won't be 'horrible' because there's a limit to how much you can mine, and 'casual' miners can hang on alpha doing the lessor ores.
-Stockpiling on gamma won't happen, because you're always moving.
-Strategy will be important
-Poor leadership will result in massive losses
-Good leadership will be rewarded
-Needing 'bodies' will encourage recruitment
-Larger corps/alliances will form, which is good
-Miner 'burnout' will be less likely
-Beta Islands will see more action
-losing a gamma base won't be the end of the world
-Base designers will get better, as they will be able to refine on each gamma
This does leave the option open for Corps that want to 'hunker' down on gamma, and build a strong home base, they'll still need to come out and 'forage', meaning they'll need enough players to do offense and defense at the same time.
This type of play will need Devs to tweak the structures some, including adding in a decay when structures are unpowered, or not connected to command terminals.
As a side note: It's unproductive to compare with Eve, because Eve has an active and vibrant PVP community. Including a large group of players that will attack sht just for the hell of it; 'not worth it' isn't even in their vocabulary.