> Suppose a person retrives cold data from another Object Storage protocol rather than S3. This is no longer a "Lakebase", so we have to come up with a different name to avoid confusion.

I've never seen "lake" or adjacent terminology refer to S3 specifically like that vs other object storage. A data lake on Ceph would still be a data lake.

(My quibble would be that "lake" often refers to inconsistent or unstructured, and itself has always been a bit handwavy compared to "warehouse," whereas this is very structured data on object storage.)