Is it possible to have PoS network that reads a staking amount from Ethereum?

[Sixophrenia]

Is it possible to run a proof of stake network that reads the staking amount off of the ethereum network?
I'm pretty sure it's possible, but I just want to make sure before I do a lot of work for nothing.

The only problem is that the actual network wouldn't have a currency of it's own on the network.
It would still have smart contract potential. which could have some native support for paying nodes with tokens.

If there were such a thing as "perfect proof of stake" distribution, wouldn't that increase transaction speeds and lower energy costs significantly?