When I hit the Sentinel Hub API for historic imagery I get a tile ID that is different from the tile ID in Copernicus Browser. The Product Discriminator id is older when from the Sentinel Hub API and the processing baseline number is different. For example:
Sentinel Hub: S2B_MSIL2A_20190815T174919_N0213_R141_T14ULB_20190815T223249
Copernicus:
S2B_MSIL2A_20190815T174919_N0500_R141_T14ULB_20230724T002706.SAFE
Sentinel-2 data were recently massively reprocessed. Sentinel Hub does not yet have a full archive. We are working on this, but timeline is not yet set.
Please note that you can use Sentinel Hub also as a part of Copernicus Data Space Ecosystem.
You will need to create a new account there, but this takes less than a minute. Account gives permanently free access, up to fair use limits.
In case you have a commercial Sentinel Hub subscription, you can use it wither with sentinel-hub.com or CDSE.