Yes. Sort of. The Russians certainly hated the SS and targeted their forces but by 1945, any German on the Russian front was fair game. The SS ("Schutzstaffel") was a massive organization comprised of several different components and the Russians hated its various branches for different reasons.

The Allgemeine-SS ("General-SS") was an administrative organization which ran the everyday tasks of the organization as requested by Himmler. These ranged from the vanilla, such as the personnel office, to the extreme, such as the Gestapo. Generally speaking, the role of Allgemeine-SS was somewhat akin to the FBI and the various security apparatuses of the American government today. The Allgemeine-SS also organized "anti-partisan" measures and, although the average Russian would have had limited direct contact with the division, they certainly felt its grip. These were the men who organized the Holocaust.

The Waffen-SS was the organization's armed forces. These divisions were divided into the German-SS and the Foreign-SS. The German-SS was primarily composed of ethnic Germans, while the Foreign-SS was composed of foreign "ethnically clean" volunteers. While both organizations committed war crimes, the actual individual motives of the men joining the Foreign-SS was typically different from that of their German counterparts. Certain foreign divisions, such as the 29th (Russian), were actually considered to be too brutal by Himmler and their officers liquidated. Other divisions, such as the 28th (Walloon), had legitimate fascist sympathies and were rather similar to their German counterparts. A third type, such as the 14th and 19th (Ukrainian), signed agreements that they would only be used in battle against the Soviet Union. This last type was an anomaly, and their soldiers were later absolved by several tribunals and later the US Government.

This is an important point. While the Russians certainly hated the German-SS, they considered foreign Eastern European volunteers to be traitors. The Cossacks drew particular ire from Stalin and, unlike the Ukrainians, were "repatriated" (i.e. brutally murdered) at the end of the war. Their commander, Helmuth von Pannwitz, was executed for war crimes by Moscow but was later repatriated with his unit in 1996 only to be once again criminalized with the rise of the Putin Administration in 2001. You can read about this in more depth in Logusz's book about the unit here.

Politics are sometimes complex.

In short, depending on the year the Russians had tremendously different reactions towards different SS units. Generally speaking, captured SS soldiers were treated worse than their Wehrmacht counterparts but just barely: almost all of them ended up dead.