I founded my Estonian company within 3 days, that includes when the court rejected the name because a similar name already existed. Everything was online.
The real problem becomes substance in Estonia? Residence, local director, office, ...
You only need a contact person and a legal address, which is only €100-200/yr. You don't need a local director, physical office or similar, and you don't need to live there.
OECD CFC rules have become much stricter in this regard...