Is Lishma considered the corrected version of Lo Lishma? It seems obvious to me that it is, but I've been fooled by the obvious before.
As we grow to love God more, we learn to love our neighbors as ourselves to greater degrees. What is this Egoism we're trying to shake off?
Ayin Lamed Mem is a meditation to help us remove negative emotions or thoughts. Negative emotions feed Ego, and we think selfishly as fear and panic rule us. Ayin Lamed Mem reminds us that God's divine providence is by our side.
When teaching the people he had gathered in the Americas, Jesus did away with the sacrificing of animals. He asked for something more personal when he told them, “ye shall offer for a sacrifice unto me a broken heart and a contrite spirit.”