Protodynastic King Scorpion I = Egyptian god Horus?

Is the Egyptian god Horus also the Ancient Pharaoh Scorpion I? I ask this because the information in Horus' About Section refers to Scorpion I and not to Horus?

Scorpion I, Narmer's father may have ruled at the same time as Horus?

Serket (Scorpion), Pharaoh of Egypt

https://en.wikipedia.org/wiki/Scorpion_I (Reigned sometime during the early-mid 32nd Century BCE, he might? have been born at around the same time as he started ruling?

Horus (Egyptian Mythology) (Says he was born in 3205 BCE)

The below links say Narmer's ancestors may have been demigods, suggesting that one of his ancestors could be Horus? Also, the third link (book) says Narmer claimed to be a demigod after taking the name Menes. Perhaps Narmer claimed that his father was Horus?

https://www.narmer.org/menes

https://brewminate.com/the-rise-of-the-state-in-ancient-egypt/

https://books.google.com/books?id=xVGkWUh5f2MC&pg=PA300&lpg...

Please correct me on anything I'm missing or am wrong about, this information is interesting to me and I would like to have information that is as true to the myths/history as possible.
Thanks!