As of April 2018, Estonian e-Residency does not grant any right other than access to e-services. [0] It is implausible digital residency programs will ever supersede standard citizenship or residency requirements and procedures.

[0] https://web.archive.org/web/20180409002346/https://e-residen...

Great question, I'm also Canadian but have European citizenship, maybe I'll be able to use this to get information from my municipal government that I can't get as a Canadian.

You need to be a resident of the EU to be covered. Also,EU nationals living abroad wont be covered.