Did the 1000 year war involve all dragons

The description of the dragon giant war is ambiguous, on the one hand it says that all dragons fought in the war but the dragons where led by Tiamat and Garyx.

I know that Garyx was worshipped by some gold dragons but I can’t see metallic dragons en mass flocking to fight for Tiamat.

Is there any more detail in DnD lore about the makeup of the dragon army?

Did Bahamut keep out of it, side with the giants or fight alongside the dragons just not near Tiamat?