I am not sure where the definition of fasciation begins or ends. I once had a fused flower like that (2 flowers fused into 1) circa 1975. It was cause by an inadvertent overspray of Round Up, enough that I knew it happened when I was spraying. I literally ran to get a watering can to wash as much as possible off (the water hose didn't reach), and that was the result.
Really, we are only talking semantics here. I can't see the necessary parts in Anthony's flower, but in my opinion, Moby, you have a fused flower caused by fasciation. As your diagnostic photo points out, the anomaly begins in the stem, not the flower or the flower stem. (The flower stem (peduncle) begins at the last leaf before the flower.) So the fused flower was caused by the fasciation that was the determinant, as technically and botanically speaking, a flower does not actually begin inside a stem.