I am pretty sure the answer is the same. What matters, as I understand it, is where the company making the sale is based and where the money is taken: how you get the product to the customer is up to you.
However, if you are fulfilling via the UK, then the product will be subject to 20% VAT when imported into the UK fulfilment centre, which will be an added to cost to you. The customer would not be charged VAT by customs as the product would be shipped to them from within the EU.
The only way to recover this VAT would be to create a UK-based business that is registered for VAT, treat sales to the UK as having been made by that company, and then charge VAT as part of selling the product to UK (or other EU) customers. The VAT paid for the imports then becomes deductible from the VAT collected.
You're getting into quite complex territory here - I'd suggest you get advice from a UK-based accountant.