Are tables accessible in Canvas?

Community Novice

I was recently told by an instructional designer on campus that tables are not "accessible" in Canvas, meaning that screenreaders cannot parse and read them.

My understanding from reading Canvas documents (see below) is that a properly formatted/coded is accessible, although this is more implied than explicitly stated. I also am familiar with other recommendations, for example, that we should avoid using tables for design, that tables should be simple and not nested, and that large and complex tables should be broken down into simpler ones.

I would like to be able to respond to this person definitively, with whatever caveats the community is finding in practice.

General Accessibility Design Guidelines​ -- In particular, see the posting by  @raynev 

Accessibility within Canvas