Hi Eric,
Very sorry that this page is not clearer. Allow me to clarify:
Archiving a form will remove the data that had been collected and reverse any changes made to the case through that form. Changes will be reflected immediately in form data, case data, reports, and exports. For Daily Saved Exports, the changes will be reflected only after the report regenerates, within 24 hours or upon a manual update.
So, in the text you quoted, we were referring to Daily Saved Exports, which is a specific type of export. For all other exports that you have saved so that you can easily run them: once you archive a form, the form will be removed immediately from these exports and any changes that the form made to the case will be reversed.
I hope this is helpful! Let us know if we can clarify this any further.
My best,
Alexandra