Defensive Duelist requires wielding a finesse weapon, yet one of Monks' abilities is to treat Monk weapons (including staves and unarmed strikes) as "having finesse" (in all but name: it allows monks to use Dex for attack and damage with all).
Can a monk use any monk weapon with DD? If the monk is skilled enough to wield a staff/unarmed as if it were a weapon with finesse, it seems flavour-busting to have to wield a dagger or what have you, just to be able to trigger DD... "I wield a dagger... which I only use 1/round, sometimes."
If not, would a house-rule allowing this be overly unbalanced (i.e., allow exploits or some possibly game-breaking scenario)?