Yom Kippur & Separation - A Question

(Illustration courtesy of The Temple Institute)

In the days preceding Yom Kippur, the Kohen Gadol separated from his wife and spent days in preparation on Har HaBayis. One of the reasons that the Kohen Gadol separated from his wife was so that he could perform his avodah in the Holy of Holies in a state of ritual purity.

Aside from ritual purity, do you think that perhaps another unwritten reason was because if he had physically satiated himself through marital relations he would not feel a lacking in his life that would allow him to better direct his longing towards Hashem?