Looks like the solution for someone like me who wants to trade but have no time to run various wallets and manage it all in different platforms. Looking forward to Eterbase launch!
I think most of traders isn't using a stand-alone wallet, most of them just putting their asset in exchangers.
Except miners. 
I think it depends on the volumes they're dealing with, I'd say low volume traders don't necessarily worry much at all about having their assets on a exchange. Would you personally hold high volumes of crypto on random exchanges? I think not, and being compliant with the law means that there's going to be fail-safe mechanisms in place that will ensure that your assets keep being yours. And as a crypto enthusiast, I'm really looking forward to the launch of this platform.