Charge is conserved => symmetry (though not capturing exactly the "(non-Noetherian) localization" that is special to it)
GP suggested the opposite thought process-- as you rightly imply:
disagreement between 2 observers whether charge is conserved or not => discovering that _something else_ is conserved
Charge is conserved => symmetry (though not capturing exactly the "(non-Noetherian) localization" that is special to it)
GP suggested the opposite thought process-- as you rightly imply:
disagreement between 2 observers whether charge is conserved or not => discovering that _something else_ is conserved