> People don't have the right to vote, at least not unconditionally.
None of our rights are unconditional. You can give up free speech rights by joining the military, and we've got things like noise ordinances. You can lose your right to bear arms by being a felon. Et cetera, et cetera.
> If you register to vote in Georgia, then move to Ohio and register there, you might have the right to vote in Ohio. You don't have the right to vote in Georgia, nor does anybody else have the right to vote in Georgia with your identity.
No one has argued otherwise.
> If you register with "Hyphenated-Name" after having previously registered with "Hyphenated Name", that doesn't mean you get to vote twice! You don't have that right.
That's not what's being discussed, at all.
People register to vote as "Hyphenated-Name". The state checks their databases and doesn't find a matching name because they got their driver's license years ago as "Hyphenated Name" (or because the DMV doesn't support a hyphen, or any number of other reasons). They get purged off the rolls.
> Mistakes are a big deal. An improper vote is a denial of the rights of the legitimate voters to have their votes properly counted.
Most people improperly on the rolls aren't improperly voting. If they moved to another state, they're almost certainly not coming back to double their vote. If they died, the chances of someone else pretending to be them is vanishingly small given the severe repercussions of getting caught (which has to be balanced against the small chance of a single vote making a big difference).