White label
White label is an arrangement where a panel is sold under someone else's brand, so the site a buyer orders on carries a name and a design that are not the provider's.
The owner supplies a domain, a name, a logo and prices. The provider supplies what sits underneath: the software, the hosting, usually the service list, and the delivery. Buyers see the owner's brand throughout, on the order form, the support pages and often the payment page, and nothing on the site says where the orders actually go. Child panels are the common form of this arrangement in the panel market, normally for a recurring fee to the provider.
What the owner controls is the storefront: the name, the prices, the wording, which services appear and which stay hidden, and the relationship with the customer. What stays with the provider is supply, software and continuity. Services can be renamed but not changed, a service that breaks upstream breaks on the branded site, and the owner usually learns about it the same way the customers do. If the provider stops providing, the site stops with it, and the brand the owner built has nowhere to go.
The provider also sees what passes through. Orders, links, quantities and running totals sit in its records, so it knows which accounts the owner's customers promote and roughly what the business is worth. That is normal for the arrangement rather than a betrayal of it, but it is worth knowing before choosing one.
Whose name, whose accounts
The arrangement decides whose name is on the site, and nothing else. It describes whose name is on the site, not who runs the accounts, who sets the delivery quality, or who decides whether a refill claim is accepted.