To get rid of a negative condition, you have to role a 5 or a 6. If you are blessed, where 4 count as successes, does the condition disappears on a 4, 5, and 6?
The first unwritten rule of cooperative games is if a rule can be interpreted in several ways, the right one is the least helpful to the players. Therefore conditions only disapear on a 5 or 6 regardless of other effects.
This is the answer from the official FAQ:
Q. Is every roll considered a test?
A. No. An effect that tells you to roll a specific number of dice, such as the flare effect on a Cursed Condition, is not a test. These rolls cannot be re rolled or modified by effects that affect tests.