The network is an element that links a dealer to a seller and their logo.
The green section "Retailers with availability near you" is based on information from the DLU and the BNB.
The blue section "Browse all retailers near you"" is based on information from the DLU.
If you notice that one or more dealers do not have a network displayed in the blue part, it means that the network field is empty in the DLU. You can fill it in DLU backoffice in Your network > Points of sale > Information Tab > Network field.
After few minutes, it will be up to date on Michelin website :