.. or the other way around? PLenty of people are regularly topping dps by perfecting rotations, getting movement patterns to rote, there are ways around the melee unfriendliness. But Bards are NOT the highest dps, they're below both BLM's AND Summoners, if we're discounting melee altogether. This is evident by simple numbers. the highest potency bard ability is 150. Fire I is above that with AF3, Fire III is waaay above that, Dots stack above that easily for summoners too.'
As you noted, the parser is broken, but there are ways to test it in a sterile environment, find a dummies, don't aoe. you won't get any miscounted dots, as theres no targets to attribute tehm to but you, the abilities not counted by the parser are well known and documented. Is it perfect? no. But the fact stands bards have NO uncounted abilities and average 30%dps lower than monks, with Summoners nearing monks themselves, -before- pets.
Not that it matter, bards are easy to play, and bring an important role to a group (songs), so even if they do tank-level dps, they're viable.
TLDR; Not trying to bust your balls or anything, but what you're providing with that example is called Anecdotal Evidence, that is, evidence that's essentially hearsay. "you know a guy who can..." -- that is , you are using a story, with no hard facts, about a very specific example, in a very specific scenario, and going "This disproves all other theories and evidence."
Science, math, none of those work that way. Anecdotal evidence is only valid in cases where empirical evidence is hard, or difficult to obtain (As is often the case in criminal investigations, if there wasn't a recording or evidence, you are stuck basing the investigation off the words of those who witnessed it.)
In this case, both this thread and the monk temple thread have pages of posts mathing out the individual viabiity of each stat, and the P/S of monk rotations, there's a post with a spreadsheet simulator that simulates bard P/s and dps in a vacuum, comparing those two alone is enough to provide hard evidence to refute your claim, but you can go a step further, these forums are alight with people sharing techniques, posting videos o them mastering fights so the simple movement requirements of a monk CAN be mastered. The parser not good enough for you? the faults, follies, and un-recorded skills of the parser are well documented, plenty of people have put a large amount of effort into fguring out how to adjust for inflation/loss from the parsers bugs to get accurate ballpark numbers (Solo, on dummies, counting the ticks/potency/average damage of skills that aren't counted and manually adding them, etc.) -- which FURTHER supports the evidence.
Your story is the story of YOUR fc, and YOUR experience, but nowhere, outside of "bards can solo one of the adds when really well geared!" do you provide any proof that bards are superior to ALL OTHER CLASSES in dps, or as you say, "near the top.", nor that only "bad parties say monk is the best dps."
Stories can be made up, numbers, numbers don't lie.
Also: I'm really bad at tldring.