As per title, I have a Round Robin with Enhanced Golden Tricorn, and killing an enemy with Frenzied Blade does not proc Golden Tricorn x2, or reset the timer for Golden Tricorn, whilst the buff is active (i.e. after a final blow with Round Robin), whilst using a Prismatic subclass.
The perk states that while the buff is active: '...grenade or melee final blows of the same damage type greatly increase [the weapon's] damage for an improved duration.' Round Robin is a strand weapon, and Frenzied Blade is a Strand melee, so by all reasoning this should work.
It works normally on a Strand subclass, however the perk does not say grenade or melee with the 'same subclass type', it says 'same damage type', ergo it should function on a prismatic subclass when strand melee damaged achieves a final blow.
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Unsure if it is intentional but it only works if you have the correct super equipped. If you use bladefury it will work.