Shouldn't it be Jon Sand instead of Jon Snow?

[l3ol3o]

Maybe it's because his "father" is from the North and Ned thought it safer to call him "Snow" instead of "Sand" as people might draw connections to Jon's age and bastard name to Lyanna giving birth in Dorne, as it's well known that she stayed in Dorne for the entire Rebellion.

This is what I think also.