The reason it's so important is that this is indicative of the overall Republican strategy of using emotional language to slant issues, like 'death tax' instead of 'estate tax'. Once their own phrase (courtesy of Trent Lott) began testing badly for them, they immediately assigned it to the Democrats.
What is so galling is that the media aid and abet them instead of doing their job, which is to try to report what's really going on, not take the talking points straight out of the Karl Rove/Frank Luntz playbook.
'Words don't matter'? What are the media but words? Believe me, every word and phrase that is spoken in politics is carefully chosen, honed and crafted for a specific emotional intent, that may be the opposite of the literal meaning of the word or phrase (can you say 'Clear Skies'?). So to say that it doesn't matter who says 'Nuclear Option' is disingenuous at best. And we deserve better from the media than the laziness of taking everything said at face value.