Soul Pet Masters care deeply about the feeding process of their Soul Pets. For Chu Mu's Mo Ye, Chu Mu would never allow Mo Ye to consume Soul Cores of attributes other than Beast and Demon Spirit types unless absolutely necessary.
Although the effects of feeding Soul Cores are generally not very significant, if fed slowly from the initial stage of a Soul Pet, these subtle effects will become much more apparent as the Soul Pet reaches the higher stages.
If it were said that Soul Cores need a long-term accumulation and feeding process to bring about changes, then Soul Crystals are what directly enhances a Soul Pet's attributes most significantly. Soul Crystals can even completely change the Soul Pet's attributes and add an additional attribute to the pet!