@Balazs Orban Thank you for reaching out to Microsoft Q&A. We apologize for the delay in response to your issue.
I understand that you are looking for CDN to be able to honor the cache control header instruction by the origin server. This should be possible with all Azure CDN products except for Verizon DSA and Akamai DSA, please refer to this document for more details.
"Similar to how caching is implemented in a web browser, you can control how caching is performed in a CDN by sending cache-directive headers. Cache-directive headers are HTTP headers, which are typically added by the origin server. Although most of these headers were originally designed to address caching in client browsers, they are now also used by all intermediate caches, such as CDNs." As given here in this document.
Please let us know if you have any further questions and we will be glad to assist you further. Thank you!
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