@Angela Calborean I'm glad that issue got resolved and thank you for posting your solution so that others experiencing the same thing can easily reference this! Since the Microsoft Q&A community has a policy that "The question author cannot accept their own answer. They can only accept answers by others ", I'll repost your solution in case you'd like to "Accept " the answer.
Issue: "Storage account metrics show blobs in cool tier, but checking each individual blob shows that all of them are in archive tier"
Why are blobs in the Cool tier appearing in the metrics even though all uploads are explicitly done with the Archive tier in two storage accounts located in Sweden Central and Norway East, used solely for storing blobs in the Archive tier, and where metrics indicate a discrepancy with a growing size of blobs reported in Cool tier in multiple subscriptions, despite no intentional data uploads to Cool tier?
Solution: You do not have direct access to the archive stamps (Archive data). The only way you can read their actual data in the archive is by retrieving them to lower tier.However, azure storage stores all archive metadata in cool tier, it is by design. So that you can list the blob and its properties, metadata, and index tags. Metadata for a blob in the archive tier is read-only, while blob index tags can be read or written. Storage costs for metadata of archived blobs will be charged on cool tier rates. Snapshots aren't supported for archived blobs. https://learn.microsoft.com/en-us/azure/storage/blobs/access-tiers-overview#archive-access-tier
Posting offline discussion.