@Mikkel Eskildsen Adding additional information for @Ben Gimblett response.
Yes there is an additional premium that comes with Private Link’s added security. The work around with Service Endpoints, but it comes with added management considerations with opening up the customer’s firewall.
Note Also as the Data process increases there is an inbuilt discount à Pricing - Azure Private Link | Microsoft Azure
I would recommend to reach the Azure Billing and Subscription team would be the best to provide more insight and guidance on this scenario based on your requirement and region specific, It's a free support
https://azure.microsoft.com/en-us/support/options/
Please let us know if you have any further queries. I’m happy to assist you further.
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