Effect of a ground in a circuit
If the ground was removed and replaced with its own voltage node, and analyzed the voltages relative to each other they would not be different from the circuit with ground, however you would not know how the value of the nodes relative to anything outside the circuit.

You could move ground to any point in the circuit and the relative voltages would be the same, but only because the ground node has no current flowing through it to another point in the circuit.