I think this strongly depends on the kind of war it turns out to be. During the last major escalation in Idlib, when Russian jets were burning Turkish tanks, there was a non-zero chance of a war with Turkey, and the Black Sea Fleet sent the strongest forces to the Mediterranean, specifically all 3 11356 frigates, two 21631 small missile ships, two 22160 patrol ships, a 12700 mine trawler, and support vessels. Most likely two 636.3 subs too. They were clearly prepared to fight beyond their traditional area of operations. In principle they would be within range of coastal aviation in Syria, and Su-34s out of Syria have conducted maritime strike training exercises using X-35 missiles. But the airgroup in Syria is relatively small, and for all their new ships, the Black Sea Fleet is weaker then the Turkish Navy by a solid margin (just the ship count leaves them outclassed in a way that they can't hope to counter with sophisticated tech). In a war against the US, NATO, China, Japan, or opponents of similar caliber, you're likely correct. But it's entirely possible that the next naval conflict Russia is involved in will be against a significantly smaller opponent, and Russia may operate well beyond their traditional coastal bastions.I also dont see a major fleet deployment beyond the limits of the North Cape nor beyond the Kamchatka peninsular in time of war simply because they rely heavily on land based aircraft.