I think most people don't actually develop dapps on Ethereum so they may not realize that there are in fact use cases where Ethereum is a better fit. Forcing people to pay for a state change may make sense when you're trying to avoid spam and/or DDOS campaigns. So I'd say both platforms are definitely going to coexist.
That being said, EOS is superior in almost every other use case.

... so I just can't understand why the coin keeps going down! Are people blind? It's $7.85 right now ...