Exporting project data and data ownership

Chris is right, and whether or not an observation is in a particular project has no bearing on whether it’s exportable by other iNat users. Anyone can go to the observations search page, enter some search items, and click “Download” in the filters drop-down, which brings them to a filtered version of the Export page: https://www.inaturalist.org/observations/export

As far as whether limiting/preventing the export of observations would be a feature that would be implemented in the future, I have doubts, since iNat is a place to share data.

Also note that each user has the options to set their photo copyright and observation copyright settings (on each observation separately and also in their account settings), but as far as observation copyright goes:

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