Did you mean if there is any Bank that will allow that you open a Bank account with the Estonia e-resident registration only?
Answer: No Bank will accept this, except Banks in estonia allowed some time ago for Business (not sure if still) to sign documents digitally trough it and this way to open remotely a account.
does it mean the bank will not recognize him to be from Estonia but from his currenct country?Yes he can forget e-residency for account opening its meaningless to a bank.
does it mean the bank will not recognize him to be from Estonia but from his currenct country?