Well, 'left' means 'right' and 'right' means 'left', right?
Yes, as far as the literal spatial meanings are concerned. (Everything else is as in English: right-wing parties are conservative, left-continuous functions means the same as in English as they traditionally draw the x axis the other way round, left dislocation in their grammatical terminology means you move a phrase to the beginning of the sentence -- because (even if I'm not showing that in the, er..., transliteration I'm using, they write left (right) to right (left)), etc.)
I don't see how it would justify translating 'left' as 'left'.
Well, if you asked someone living before parity violation was discovered who can't see you what they meant by “left”, they could have answered, say, “the side where most people have their hearts”, or “the side other than that where most people have the hand they usually use to write”, and those would be true of left on the other planet, too.
If you show the twin-earther your left hand they would say "it's your right hand".
And if you gave a Putnamian twin-earther nothing but H2O to drink for a day, they'd still be thirsty (and possibly even worse, depending on the details of Putnam's thought experiment).
"Right" has several meanings and can be analysed as several different words: "right.1" means "conservative" (identical to "right.1"), "right.2" means "at the end of a sentence" (identical to "right.2"), "right.3" means "correct" (identical to "right.3") while "right.4" means "left", i.e. opposite to "right.4". Historically they were the same word which acquired metaphorical meanings because certain contingent facts, but now prac...
Thagard (2012) contains a nicely compact passage on thought experiments: