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Hmmm... okay, I'm able to work around the bug in the following while visible is set to true, but once I run the script with that set back to false, I get the same 'no window' response to a click on the dock icon.

tell application "OmniFocus"
	tell the default document
		set theWindow to make new document window with properties {visible:false, perspective name:"Inbox"}
		close theWindow
	end tell
end tell

It may be that the best option is a script that opens the window, does the export, then closes the window for the time being. Apologies!

(Attaching this info to the bug I filed, as well.)