ETH and ETC are exactly the same. in fact ETC is the original ethereum despite what its name suggests. back in the days somebody used an exploit which still is not fixed in ethereum to take a lot of money from ethereum users including the foundation so they decided to roll back and create a new chain. they called that chain ETH and those who opposed the "roll back" remained on the original chain which is now called ETC.
as for price, ETC has a lot more potential of getting pumped, and it is getting pumped more because it has a lower price and it is always easier to pump low price coins than it is to pump big bubble coins.
I think you got it wrong there. There was no 'exploit' in Ethereum. If you meant the DAO incedent, there was something wrong with the smart contract itself allowing the attacker to make multiple withdrawals by exploiting a flaw.
But afaik, there was nothing with the platform itself.
Yeah I think that's more accurate, but it does point out the flaw of having a platform like Ethereum allowing for DAPPS to run on them. Since 2016, not just DAO but other smart contracts have flaws which are continuously exploited. Remember Parity? So you're right, Ethereum itself has no exploit... but all the dapps running on it are only as good and as bad as the programmers.
The flaw of ETH is the precedent set by DAO, the flaw that is centralized leadership. Imagine if every Parity hack was also rolled back. That's what ETC people were so upset about.