I have a situation where most of my organization's data is stored in a proprietary third-party (Milsoft) datastore, and they have an ArcMap extension which creates an intermediate file geodatabase locally and then has some toolbars with editing tools and then push those edits back to the proprietary datastore. Since that local gdb is somehow tied to the extension it has some funky behavior, it is recommended to copy all the featureclasses to a new geodatabase - manually. I've written python code to automate this process using geoprocessing, but this fails - the Copy tool says it can't copy from one workspace to another, CopyFeatures successfully completes but the new featureclass has no features.
I gave up on geoprocessing and wrote an ArcObjects tool that utilizes iExportOperation.ExportFeatureClass and it works. But, since I'm trying to migrate all my workflows except for editing to Pro, I would like to write an equivalent tool for Pro using .net so the big question is: Is there an equivalent class in the Pro .net SDK to iExportOperation.ExportFeatureClass???