Forgive me if this sounds sectarian, but I could help but notice the similarities between the sentiment of Nitai's all-embracing Mercy and the description of God's Mercy found in Islam. From what I understand from reading this forum and some other Nitai-related websites (e.g. nitaaiveda.com, nitaiveda.com, and some of D.M. Sherman's works (unrelated to nitai.co)), the primary characteristic of Nitai is that He is Compassionate, Merciful, all-embracing and outward-reaching. Krishna, by contrast, is aloof, transcendent, and more or less inaccessible.
So I thought it was curious that the Allāh (S.W.T.) of the Qur’an is described in a similar fashion:
“… and if he draws near Me by the span of a palm, I draw near him by the cubit, and if he draws near Me by the cubit I draw near him by the space (covered by) two hands. And if he walks towards Me, I rush towards him.”
— Sahih Muslim
In other words, as OP has described in her post, Nitai rushes to help you twice-over as soon as you even think about lifting a finger! In a similar way, God rushes towards you if you even walk towards Him.
“… My Mercy embraces all things. …”
— Qur’an 7.156
In Islam there is a heavy emphasis on God's Mercy and Compassion, which is probably why the invocatory formula for God is: Bismillahir Rahmanir Rahim, i.e. in the Name of God, the Most Compassionate, the Most Merciful. I particularly like how Nitai is calculatedly and omnisciently wrapping all things in His Mercy whilst simultaneously being overtly and extremely eager towards devotees that turns towards Him. He reciprocates on the double.
Perhaps, the God of Islam and the God of the Vedas are not so different?