ArcGIS Pro 2.6.8; Oracle 18c 10.7.1 EGDB:
If I understand correctly, there isn't a way to see if a point/line/polygon FC has an annotation FC associated with it -- via the point/line/polygon FC's Catalog properties.
Could that functionality be added?
You can see if there is a feature-linked annotation feature class in the feature class properties.
It is under the relationships tab
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