Though there are Bhairava Temples in the North indicating Shiva’s association with Burning Ghats and there is the association of Varanasi, Benares with Burning Ghat, there seems to be no clear
Amirthakadeswarar, Shiva, who has Amirtha, nectar.
Those who worship Him would gain the liberation of the Soul.
As usual, the abstract meaning got lost and people throng this place for longevity.
Though it is granted, the real benefit is removal of Human ignorance that he is limited and mortal.