No resident will ever be drafted / asked to serve in the army of their residency. It would make no sense.

This e-resident is mostly a way for Estonia to lower the barrier in creating a company in Estonia (and therefor having access to the E.U common market). This is a clever move because it attract start-up and smaller companies (who tend to be more afraid of paperwork) in Estonia rather than another E.U country, which means they will pay taxes to Estonia instead of Germany, France, ...

That's only possible if you have national defence obligation, i.e. you completed the compulsory draft or have applied so otherwise. In both cases you need to have citizenship, basic education, of good health, not in jail, no criminal proceedings and a few other minor things. See §81 of the Military Service Act [0].

[0] https://www.riigiteataja.ee/en/eli/513072022006/consolide#pa...