Hi Leroy,
Even deleting the private endpoint if the storage account is on public access you will continue using the linked service to access to the storage without problem.
On the other hand if a production environment and you need to keep the communication insolated you can recreate the private endpoint , deleting first de old one following:
Synapse workspace> Security > Manage Private endpoints> click on delete private endpoint with issues
After that in the same section click on new and choose the storage type that you are using : blob or storage datalake
Choos the right information about your subscription, resource group and storage to finalize the configuration return to the storage account > network > private endpoint and approve the connection:
Take some minutes and you will have the private endpoint again configured.
Cheers,
Luis Arias
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