based on the charts they are both VERY strong and I am excited to see what the future brings on those.
I think the important part to remember here is that the Chinese market loves their cryptos so that might be a reason why NEO outperforms ETH. A good example how strong the Chinese market is would be how whatsapp failed in its market penetration in China because WeChat took all its customer base.
At the moment of course Ethereum has the upper hand because its being used and as long as the space keeps getting larger companies will have no problem with building on top of their blockchain.
My thinking was buy them both and wait for the chart to show signs of weakness in one over the other. I do not listen to public opinions or news announcements or anything to make my analysis. The chart tells me all I need, and when it is ready I will share with everyone else as well!