What happens if Bards have advantage over Fighters in 1v1?

Based on something I saw from a Minstrel thread a bit back, the question came up: Who naturally wins in 1v1, in a game where 1v1 isn't automatically balanced? Bards or Fighters?

Fighters specialize in movement and gap closing, but unlike Mages or Rangers, Bards don't need distance to be effective, and in fact, might be better at close range. So does this mean that a Bard, assuming they can, for example, put the Fighter to sleep or something, long enough to get buffs up, has advantage in this 1v1?

Moreso, I'm asking: Would this theoretically bother people enough for them to complain, or is this something I can consider as a possible future for PvP?

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Well, what experiences have you had where it goes the other way? Because in most games I'm familiar with, if they're not completely surprised, the Bard will tend to win. (Between Slow and Dispel, the Fighter will already do less damage.)

All of these dumb necros and no one had the mp to rez tank as a class name.