There must be something besides “(painful) surrender of value.” More to the purpose of atonement.
Could be and thanks for the input.
The only definition of ‘sacrifice’ in the Bible comes from the Hebrew (zebach/zevach) and the Greek (thysia/thoosia) which means to give over to God something of value such as property (money, wine, time, etc.), a live animal (which was always killed), and praise. This always involved giving over something at great cost to the giver. This, IMHO, involves some level of pain. You may be doing so with a glad heart, but if the item were meaningless then it had no value and was thus not a sacrifice.
Thus far I have not seen anything written on the subject from the ‘sacrifice’ perspective. Gotta keep looking...