It is possible to go super in multiplayer with Single Player emeralds
This doesn't occur in unmodified games since emeralds
gets cleared up naturally in the change of gametypes. If you manually assign it via Lua, however, it's completely possible to go super just like in Single Player, regardless of how the gametype is supposed to work.
addHook("ThinkFrame", do emeralds = EMERALD1|EMERALD2|EMERALD3|EMERALD4|EMERALD5|EMERALD6|EMERALD7 end)
There are multiple ways to deal with this besides just patching it out (including doing nothing about it) so this issue is mostly so we know it's an unintended side effect.