So does this mean that Russia is in Serbia in a way they couldn’t get when it was Yugoslavia?
It's a different Russia now, they essentially locked NATO out of Eastern Europe with their Georgia campaign. It is unnecessary to rehash Kosovo, as there is little gain for them. The Serbs will have to take the lead and make the case.
Russia's current strategy in the area is to pressure Muslim terrorists (like Chechens), to move to Western Europe and America. A much better result than killing 'em there.