:What you claim is common sense does not play a role here (as is what Colchium claims on another talk page). Either you can find a source that says that SO was recognized because of the war, or you leave your WP:OR statement out of the article. Regarding the source you cite above: 

 :"The Presidents of South Ossetia and Abkhazia, based on the results of the referendums conducted and on the decisions taken by the Parliaments of the two republics, appealed to Russia to recognize the state sovereignty of South Ossetia and Abkhazia. The Federation Council and the State Duma voted in support of those appeals." 

 :So according to that source, SO's independence was recognized because of the appeal of the presidents, based on the results of the referendums. That is very different from your sentence. Nor does one of the other sources support the claim that SO was recognized because of the war.