I think this needs updates to some of the compatibility docs (at least prometheus). Currently, Prometheus adds scope name and scope version as labels to ensure we don't end up with duplicate timeseries, and we are able to put scope attributes in a separate otel_scope_info metric. With this change, we will need to update this to instead add the scope name, scope version, and scope attributes to all metrics.

TIL schema_url is also identifying, so that is something we will need to handle in Prometheus export and other "non-OTLP" compatibility documents.

Originally posted by @dashpole in #4161 (comment)