Earth has an iron-nickel core which gives us a magnetosphere. Based on this question that replaces our iron core with a mercury core, would we be likely get a magnetosphere?

Mercury is highly conductive and forms mercury(Hg ii) crystals at high pressures. At low temperatures and high pressures it becomes superconductive. Given the conductivity, mercury might form a magnetosphere but I'm just not sure.

What happens to the crust or how life might form on such a planet is outside the question scope.