Because Egyptian crowns had snakes on them.
Resentful political culture war from day 1.
I would be less disgusted by this if they dropped the aggro after their enemy was defeated. Instead, these little brats can't even be arsed to keep track of who they're spitefully flipping off. "We're gonna dance on your grave even after we've forgotten your name." Healthy and chad. Sign me up.
By hiding the connection, they confess they have something to hide.
Now everyone is freaked out by Asclepius' staff having snakes on it. Have no clue what it symbolizes or why anyone would want to symbolize it. Too scared of his righteous retribution to take them off, though...