Ok, did a little research.
Btc-e.com domain definitely is seized by the authorities (it's not still in control of the original owners anymore) - but this is very common and I am sure the original owners were expecting this to happen anytime. Seizing a .com domain just takes one court order to the ICANN (the domain overviewing organization) and the domain is in control of the authority requesting access. This is why, most notorious websites like to use cctlds (like .ru, .cn and so on).
Many people think that the BTC-e owners are doing an exit scam by putting up a seized notice on the website themselves and withdrawing all the coins to other wallets. But that is not the case, as we shall see below.
Now, the ETH moving to another wallet is interesting. I am sure the ETH wallet is NOT yet seized by the authorities - because if it was, they wouldn't have sent all the ETH to a wallet (
https://etherscan.io/address/0x8eb3fa7907ad2ef4c7e3ba4b1d2f2aac6f4b5ae6) that receives 0.001 to 0.0001 ETH every few minutes (it is probably a small miner that is paying to this address). If we remember the Silk Road case, the FBI transferred all BTC to a brand-new wallet with no transactions happening.
So, the ETH have been moved a wallet that is still in control of the team and not the LE authorities.
Future prediction - Probably the site will come back online on a different domain other than btc-e.com. It could take longer than expected. And hopefully, all the customers will access to their funds like before.