"Specular bloom" ? Thats a new name. It's just "bloom" to me
Specular bloom is bloom around the specular effect (duh) giving a glowing sparkle to objects with a high specularity where they catch the light, rather than just making everything on the screen that is bright start to glow, which is what a normal bloom effect would do.
So, you could have a light coloured or brightly lit object but only the specular highlights would bloom.