Generally speaking, both EOS and ETH have the same importance in the space of cryptocurrency because both of them try to be operating systems for the future decentralized Apps. In the space of cryptos, it is hard to specify who will win and lose especially when it comes to ETH and EOS, so both coins have the possibility to survive.
You do have a point there, mate. Both ETH and EOS aim to become the decentralized blockchain operating system for the world. However, each have their different approach when it comes to scalability, decentralization, etc. It's good to have some competition, since it would allow blockchain technology to improve and mature like never before. EOS has some interesting features that make it ideal for quick transfers without fees (at the cost of centralization). On the other hand, Ethereum has decentralization but it lacks quick speeds and fees are extremely high (but it's highly secure and resilient).
Therefore, only time will tell us which coin will survive (either EOS or ETH) according to their adoption in the mainstream world. But as for me, I'll go with Ethereum since it's decentralized.
