This is a good idea but for it to work there would be a need for confirmation to show information at the start of a fight. Kinda like a readycheck; if someone chooses No then damage will not be parsed.

How very ever, harassment would ensue after the fight:
"If someone doesn't accept, the party is over and i'm kicking noobs"
"Why did someone not accept the Parsing"
"Who's scared of the chart"
"Lol scrubs in the party"
Some people like parsing because they can see if they are improving, but many can't help but to compare their DPS with their peers who might take it the wrong way and become defensive, abrasive, and volatile; they fight and fight 'til someone decides who's the youngest.

I don't think FFXIV is ready for any type of DPS meter. TBH As long as you get the job done it doesn't really matter. 'THOUGH SOME PLAYERS ARE BETTER AT DOING THAT JOB AND SOMETIMES DO THE JOB OF SOMEONE ELSE LIKE A BARD. really touchy subject :]