✔️ If it is the same site, the same customer service, and only the name that changes, it is possible.
🚩 However, the merchant (brand) will have to be clear about the name change to consumers: indication before the change on its site or via newsletter for example. It is important that reviewers are informed of the name change so that they are not surprised to see their reviews linked to a brand certificate for which they did not give a review.