This could mean several things. For example, it could simply mean that he doesn’t believe in the personal God of religion. That does not necessarily mean that he believes that God does not have a personal nature. The fact is, your analysis is only correct if we assume that Einstein was contradicting himself; which is possible, but unlikely.
“It was, of course, a lie what you read about my religious convictions, a lie which is being systematically repeated.** I do not believe in a personal God **and I have never denied this but have expressed it clearly. If something is in me which can be called religious then it is the unbounded admiration for the structure of the world so far as our science can reveal it.”
Albert Einstein, in a letter March 24, 1954; from Albert Einstein the Human Side, Helen Dukas and Banesh Hoffman, eds., Princeton, New Jersey: Princeton University Press, 1981, p. 43.
“My position concerning God is that of an agnostic. I am convinced that a vivid consciousness of the primary importance of moral principles for the betterment and ennoblement of life does not need the idea of a law-giver, especially a law-giver who works on the basis of reward and punishment.”
Albert Einstein in a letter to M. Berkowitz, October 25, 1950; Einstein Archive 59-215; from Alice Calaprice, ed., The Expanded Quotable Einstein, Princeton, New Jersey: Princeton University Press, 2000, p. 216.
"I cannot conceive of a God who rewards and punishes his creatures, or has a will of the type of which we are conscious in ourselves. An individual who should survive his physical death is also beyond my comprehension, nor do I wish it otherwise; such notions are for the fears or absurd egoism of feeble souls. Enough for me the mystery of the eternity of life, and the inkling of the marvellous structure of reality, together with the single-hearted endeavour to comprehend a portion, be it never so tiny, of the reason that manifests itself in nature.”
Albert Einstein, The World as I See It, Secaucus, New Jersy: The Citadel Press, 1999, p. 5.
“The idea of a personal God is quite alien to me and seems even naïve.”
Albert Einstein in a letter to Beatrice Frohlich, December 17, 1952; Einstein Archive 59-797; from Alice Calaprice, ed., The Expanded Quotable Einstein, Princeton, New Jersey: Princeton University Press, 2000, p. 217.
“I am a deeply religious nonbeliever.… This is a somewhat new kind of religion.”
Albert Einstein, in a letter to Hans Muehsam, March 30, 1954; Einstein Archive 38-434; from Alice Calaprice, ed., The Expanded Quotable Einstein, Princeton, NJ: Princeton University Press, 2000, p. 218
“I cannot conceive of a personal God who would directly influence the actions of individuals, or would directly sit in judgment on creatures of his own creation. I cannot do this in spite of the fact that mechanistic causality has, to a certain extent, been placed in doubt by modern science. [He was speaking of Quantum Mechanics and the breaking down of determinism.] My religiosity consists in a humble admiration of the infinitely superior spirit that reveals itself in the little that we, with our weak and transitory understanding, can comprehend of reality. Morality is of the highest importance — but for us, not for God.”
Albert Einstein; from Albert Einstein the Human Side, Helen Dukas and Banesh Hoffman, eds., Princeton, New Jersey: Princeton University Press, 1981, p. 66.
“The idea of a personal God is an anthropological concept which I am unable to take seriously.”
Albert Einstein, letter to Hoffman and Dukas, 1946; from Albert Einstein the Human Side, Helen Dukas and Banesh Hoffman, eds., Princeton, New Jersey: Princeton University Press, 1981.
“I cannot accept any concept of God based on the fear of life or the fear of death or blind faith. I cannot prove to you that there is no personal God, but if I were to speak of him I would be a liar.”
Albert Einstein; from Ronald W. Clark, Einstein: The Life and Times, New York: World Publishing Company, 1971, p. 622.
“I have repeatedly said that in my opinion the idea of a personal God is a childlike one. You may call me an agnostic, but I do not share the crusading spirit of the professional atheist whose fervor is mostly due to a painful act of liberation from the fetters of religious indoctrination received in youth. I prefer an attitude of humility corresponding to the weakness of our intellectual understanding of nature and of our own being.”
Albert Einstein, to Guy H. Raner Jr., September 28, 1949; from Michael R. Gilmore, “Einstein’s God: Just What Did Einstein Believe About God?,” Skeptic, 1997, 5(2):64.
“I received your letter of June 10th. I have never talked to a Jesuit priest in my life and I am astonished by the audacity to tell such lies about me. From the viewpoint of a Jesuit priest I am, of course, and have always been an atheist. Your counter-arguments seem to me very correct and could hardly be better formulated. It is always misleading to use anthropomorphical concepts in dealing with things outside the human sphere—childish analogies. We have to admire in humility the beautiful harmony of the structure of this world as far—as we can grasp it. And that is all.”
Albert Einstein, to Guy H. Raner Jr., July 2, 1945, responding to a rumor that a Jesuit priest had caused Einstein to convert from atheism; from Michael R. Gilmore, “Einstein’s God: Just What Did Einstein Believe About God?,” Skeptic, 1997, 5(2):62.