..."They've also provided data dumps of the Bitcoin addresses involved" mean?
I'm not up on bitcoin minutia. If these d-bags were running miners, that means that they own the coins... their wallet. So, what addresses do they mean? Specific coin IDs?
Yes, they went to a wallet that the ESEA owned. In your wallet, you can setup numerous addresses that you can give to unique miners so you can see how many bitcoins specific miners are brining in. You can also just use a single address to have all of your bitcoins sent to. Either way, they'd all end up in the same wallet. As an example, here is the address I used when I first tried mining on a pool, you can use it to see how much I bothered to get from this specific pool.