We plan to provide a report for automated test results, i.e. where you can nicely print/export as PDF.
Other than that there are no plans for any export.
An additional CSV/Excel export looks a bit like a redundancy to me, given that the test results come from input files in similar format…
That said, you can close & pin the test runs, then they cannot be changed (amended/deleted) any more and also will not be deleted and then you can link to the results in Testiny - wouldn’t that be enough? 
Best regards,
Alex