Russia was fighting alone against the powerful nations of Europe. Coalition forces captured Sevastopol (a third-fortress), we have taken a major city of Kars. And it provided that our armed forces have been worse.
The fact that the war ended without major territorial changes for Russia, it is a victory ... is the victory of the Russian people.
The most significant as the Russian monks of Solovki monastery repelled the attack of British troops.
Victory can be claimed by both sides. The British and her allies could boast a strategic victory which prevented the expansion of Russian Empire and saved the Ottoman Empire. And I doubt that back then, it was claimed victory of the Russian people

About Russia's huge reserve and the ability to throw in mass after mass of cannon fodder, peasant soldiers, let's talk about the Eastern Front during WWI. Most of human losses during that time were combatants and russians take a major part in that statistic. Civilian casualties were around 2 million and most of it was due to famine and disease while only 6k odd in military operation. While total casualty of combatants is 9.15 million, the highest number in all participants of the war. So, I agree that Russia is strong but mostly in sheer number and vast steppe. After all, your war plans have always been deep strategic withdraws followed up with counter offensives.