Likely but what killed the Empire in the end was its willingness to back the Serbs. Russia could easily after the killing of Franz Ferdinand have gotten away with simply saying to the Serbs; "you're on your own".
A very dangerous course of action. It throws like 6-7 different countries into the sphere of the Central Powers, one way or another.
And even more importantly: it places every single acre of land between Berlin and Baghdad firmly under Germany's political, economic and military sphere. For Russia, fighting the Ottomans in OTL was no fun at all. In fact, many argue that
this was what what killed the Russian Empire: not the war itself, but the Ottomans closing the Straits and then managing to stay in the fight, even if by the skin of their teeth.
Now imagine if the Ottomans were stronger, even better prepared, and had a direct supply route to their German and Austrian allies from Day 1 of the war.
So if the war does break out in the next few years (and no one can guarantee that it won't): Russia is capital-s Screwed. And they knew it. Russia's decision to defend Serbia in 1914 had very little to do with sentimentality.