Me enters room, hits search button in (encryped) room in the Android client. A dialog pops up telling me that search in encrypted rooms isn't yet supported. Export? Nothing even remotely like that visible. So if it exists, it's some kind of fractal existence ;-0
The Mac client has a search button and it asks me for a search term. When I enter a string (which I know to appear in the room I selected) the search reports ""No results" ... I'm not sure if I'd call this an "existing search capability" either ;-0
OK, I have to admit that the latest Mac client now (finally) has an export feature, as I just checked. So it seems usability improvements happen, albeit slowly and unevenly deployed.