Odaicon blessing temporarily reduces the probability of Jenk entering a random battle in normal areas. It does not eliminate the possibility.
Because the probability of random battles are proportional to the amount of Gold Jenk is carrying, Odaicon blessing's effect will also become more notable. For example, when Jenk is carrying the maximum amount of Gold possible (99,999), random battles happen with almost every step. But using Odaicon blessing reduces the probability of a battle back down to near normal levels.