For those seeking to enslave God to their theology I am certain that is true. But for those who believe in a God who cannot be chained by any such human definitions it is quite natural to believe that none of these theological concepts can EVER say that God has no choice but to do what such human concoctions dictate. So I most certainly do include omnipresence in this list to say that YES, God can be wherever He chooses AND He can be absent somewhere if He chooses that also.
Furthermore we might ask which conception is actually Biblical? You say God is incapable of not knowing things or not being present but the Bible says that God can do these things.
Can God choose not to know things? According to the Bible, yes He can.
Hebrews 8:12 God will remember our sins no more.
Can God choose to remove Himself from some place? According to the Bible, yes He can.
Ezekiel 5:11 Therefore, as I live, declares the Lord God, surely, because you have defiled my sanctuary with all your detestable things and with all your abominations, therefore I will withdraw.”
Can God take risks so that He later regrets what He did? According to the Bible, yes He can and did.
Genesis 6:6 And the Lord was sorry that he had made man on the earth, and it grieved him to his heart.
Taking risks, giving privacy, giving up control to others, and loving others are not inabilities in any way whatsoever – none of them. Nor are these founded upon inabilities or require inabilities. Just because someone CAN control something doesn’t mean they have to. Just because someone CAN know something doesn’t mean they have to. Just because someone CAN be somewhere doesn’t mean they have to. Just because someone can eliminate all risks doesn’t mean they have to do so.
So why would somebody suggest that these abilities are somehow “inabilites?” It is becuase these abilities are somewhat connected to values, like whether you value anything more than power and control. Those who do not value anything more than power and control certainly have a hard time imagining why anyone would choose to take risks, give privacy to others, give up control, or love others enough to share important decisions and give them any autonomy – and frankly I don’t think I could ever convince them that these things have value if they haven’t learned this themselves. But even though they may equate not grasping for power and control whenever possible with weakness, and though they may equate love with weakness and foolishness, they are absolutely wrong because the opposite is the case. People ONLY grasp for power and control when they are WEAK! Those who really have power do not behave or think this way at all.
So I do not believe in the god of power and control worshiped by so many people. Indeed that creature sounds like the devil to me. I believe in a God who chose love and freedom over power and control and that is why He created a universe that operates autonomously according to natural laws supporting the self-organizing process of life. When one is all about power and control then the only thing one would create is tools for an end, in which life serves no useful purpose at all. But when one values relationships of love with others who have the freedom to make their own choices, then and only then, does it make sense to create life.
That God chooses love and freedom over power and control is also demonstrated in His choice to leave all that divine power and knowledge behind in order to become a helpless human infant (Philippians 2:5-8). To be sure, I have no doubt that some will never understand the choice of love and freedom over power control and thus must believe in a god who can never make that choice. But I will continue to see this god of power as not only being more like the devil but as rather pathetic as well – little more than a tool of manipulation invented by people using religion as method of exerting power over others.