Is one intention better than the other? Intention that is good will have a good result and bring happiness, bad intention will have a bad result and suffering as a result. But many things have been experienced in life, one thing can be experienced many times in different situation, condition and time. These all together with one's habit will give rise to different kind of intentions only for one action. The first intention will be followed by the second or maybe the third.

Normally intention that first comes up is closely related to someone character/behavior, realizing this he corrects his mistake. Along with this correction, there will be another intention over two previous intentions. 

In that case, is one intention better than the other?
Each intention is it's own Karma. Whether one intention is better than the other depends on the purity of the intention. In other words, if it's defiled by greed, hatred and ignorance.