I'd say yes, it gives you access to both Sorceries and Mircales in one catalyst and is better than any other staff/chime/talisman at 40 Intelligence or Faith. For Sorceries only the Archdecan's Great Staff with Steady Chant active does more damage than the Crystal Chime. It may not cast Pyromancies but it gives Pyromancers a way to use Miracles and Sorceries in a nice little package. In other words it gives Pyromancers versatility in what they can do.
The Izalith Staff is better for Dark Sorceries either the Sunless Talisman or the Caitha's Chime are better for Dark Miracles.
The White Hair Talisman is trash as it's not very good outside of using buffs that don't scale (Sacred Oath, Deep Protection, Bountiful Light, Power Within, etc), but anything that uses Spell Buff it's awful.
Also this chime is REALLY GOOD for the Midir fight as a Pyromancer as you can cast Pestilent Mist, Bountiful Light and offensive Lightning Miracles (Lightning Arrow, Great Lightning Spear and Sunlight Spear) without having to swap casting tools, which is a lifesaver in that fight.