Are you sure about that? My understand of it was that the place of supply depends on what is being sold and not on the VAT registration status of either party. Digital goods would have the place of supply defined by where the customer is. Services have it defined by where the seller is.
If both you and the customer are VAT registered, then you can zero rate the VAT, but the rate (if it were applied) could be different (based on what you are selling).
If both you and the customer are VAT registered, then you can zero rate the VAT, but the rate (if it were applied) could be different (based on what you are selling).