Meaning of sentenes

(1) in England, “pig” refers to YYYY, but in the United States the term refers to XXXX
(2) in England, “pig” refers to YYYY, but the United States term refers to XXXX
(3) in England, “pig” refers to YYYY, but the United States uses the term when refering to XXXX

Hi. Please explain the meaning of the three sentence.
Are their meaning different?
Does “the United States term” refer to “pig” in sentence (2)?

Thank you.

In England, “pig” refers to YYYY, but the American term for ‘pig’ is XXXX.
In England, “pig” refers to YYYY, but the United States uses the term XXXX when referring to a ‘pig’.

Are their meaning different?

Now I don’t think there is any difference.