No, these are two different things. One is stability market, where batteries are now king, the other is physics of fault ride-through, where actual physical inertia is a real neccessity, at least for the time being. That is why synchronous condensers are installed.
Every major renewable grid has installed additional intertia to avoid blackouts.
Variously called "synthetic inertia", "virtual inertia" or "grid-forming inverters".
Some people treat the spinning metal like vinyl records and think you can't get that "warmth" with the new tech but on objective measures, including cost, they win.
People install them because they were the old tech for this, and there's lead times and caution, it's just slowly changing legacy not something batteries can't physically do better.