Antti and Kaisa’s assessment is likely quite accurate considering the big picture, but I personally don’t believe there is room for two wide-body aircraft daily on the Helsinki-Dubai route. Finnair probably doesn’t have many connecting flights to offer from Dubai, whereas with Emirates, you can reach practically anywhere in the Eastern and Southern hemispheres from there.
Through Doha, Finnair is able to feed passengers with the help of Qatar Airways to more or less the same routes as Emirates, so Finnair isn’t completely out of the game even after Emirates’ arrival. However, there is starting to be plenty of supply for connecting passengers heading east and south with reasonable layover times offered by Turkish, Qatar, and Emirates—and, of course, the European airlines in addition to these.
In this situation, Finnair likely has no choice before the return of Russian overflights other than to try and stay healthy in terms of its balance sheet and bottom line. Just by glancing at a globe, it is easy to see that one cannot get large passenger volumes from Helsinki except in the direction of the east. However, the company cannot survive on Finnish passengers alone.