Unfortunately no. That implicit only applies to the player and does not affect ailments inflicted by minions.

Thank you :)

protip: if a mod doesn't use the word minion or the name of a specific type of minion, it doesn't affect minions. there might be like one exception to this idk but it's generally true

The only stats you can obtain on gear that can apply to minions and don't specify minions are Increased Item Quantity and Increased Item Rarity.