I think you may have confused 2 countries here.
The Kingdom Bank is incorporated in Dominica (fully the Commonwealth of Dominica), not in the Dominican Republic. Both countries commonly accept foreigners for banking, but Dominica licenses solely offshore banks (not generic ones) for this purpose.
Dominica is a CRS/AEoI member, so by inference, this bank should be reporting customers. The Dominican Republic has not signed onto CRS/AEoI.
The Kingdom Bank also have other offshore banks in Dominica, UK and EU
EMI, and some other institutions. I presume that their SEPA/SWIFT details are provided by the EMIs in the group or via a bank that is in a relationship with the EMIs (I do not find it likely that an EU bank would be in a relationship with a Dominican offshore bank to issue accounts for them). I have not yet been willing to pay the 2K EUR opening + 250 EUR monthly fees to get a SEPA IBAN or the X thousand + 750 EUR monthly for the SEPA/SWIFT multi-currency IBAN. It seems that they target a higher-risk demographic than I fall under
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See here, for the 2 jurisdictions