Falcon is a bird of prey name applied almost exclusively to dogs — real falcons have their own names and rarely need registration. As a dog name it sits in the raptor category alongside Hawk and Eagle: names that communicate speed, predatory precision, and a certain kind of aerial grace that most dogs aspire to without quite achieving.
The Marvel Layer
Sam Wilson, the Falcon and later Captain America in the Marvel Cinematic Universe, gives this name a superhero dimension that's been active since 2014 and prominent since his promotion to the shield in Avengers: Endgame. A male dog named Falcon in a Marvel-saturated household is almost certainly honoring Sam Wilson: loyal, capable, slightly overlooked until he wasn't.
The Raptor Aesthetic
Speed-and-precision names have a specific appeal for owners of athletic breeds. Greyhounds and Salukis suit Falcon completely — the visual metaphor of a sighthound at full extension is genuinely falconlike. Border Collies with working-dog intensity also carry it well.
The Millennium Falcon Option
Han Solo's ship gives Falcon a third, very specific pop-culture layer for Star Wars households. A dog named Falcon who is fast, temperamental, and occasionally refuses to start is wearing this reference with precision.
The Counter-Reading: The Name Outpaces the Dog
Most dogs named Falcon will, at some point, move in ways that are decidedly not falconlike. The name survives this gap through sheer confidence.