D/D/D has D/D in its name so it counts. But not vice versa. Same as how XX-Saber counted as X-Saber because it had X-Saber in its name.

Are D monsters considered D D monsters?

It's worth noting at this point that a “D/D/D” monster is also a “D/D” monster, but not the other way around. They span all the dimensions from Fusions to Synchros, Xyz, and Pendulum Monsters.

What does DDD mean in Yugioh?

"D/D/D" stands for Different Dimension Daemon. Taste the power of demon kings that have conquered different dimensions. Declan Akaba on the D/D/D.