Many of the previous versions of Eve would be pretty completely inaccessible, so your dismissal would definitely be warranted. The version we've decided to run with though basically has three parts: a document editor, embedded spreadsheet cells, and a fancy plain english search. All three of which have a history of accessible solutions, so that makes me much more optimistic that we can provide something nice here. Along the way, another thing we've been very cognizant about is making sure no matter what form of input you prefer, Eve should be efficient and useful to you whether you're using a keyboard, a mouse, or touch. Many of the interaction issues we'd need to solve to better work with screen readers popup when trying to support complete keyboardability, but I have no delusion that there will be plenty more to solve there. Another interesting aspect of this version of Eve is it's really easy to imagine a voice interface to since virtually everything is done using plain english queries - it'd be kind of like having Jarvis in your google docs.
Admittedly, we don't know what we're doing when it comes to accessibility, but it is something we've been thinking about indirectly and it's something I think we can at least do more naturally than the code editors of the world.
Thanks for raising the issue and it's something I'd like to have a more concrete answer for in the future.