Potential difference between two points is always a difference therefore it does not depend on the choice of zero potential.
Though potential and potential energy depend on the choice of a reference point of zero potential or zero potential energy. But the difference of potential does not depend on the choice of the reference point.

Introduction:
The potential difference between two points is defined as the difference in electric potential between those two points. The electric potential is the electric potential energy per unit charge. The potential difference is independent of the choice of zero potential energy or zero potential. This statement can be explained as follows.

Explanation:
The electric potential energy of a charged particle in an electric field is defined as the work done by the electric field in moving the particle from an infinite distance to a point in the field. The electric potential at a point in an electric field is defined as the electric potential energy per unit charge at that point.

The choice of zero potential energy or zero potential is arbitrary. It is a matter of convenience. The potential difference between two points is independent of the choice of zero potential energy or zero potential. This is because the potential energy or potential at any point in the electric field is relative to the potential energy or potential at some other point in the field. The potential difference between two points is the difference in potential energy or potential between those two points.

Example:
Suppose we have two points A and B in an electric field. Let the potential energy at point A be zero. Let the potential energy at point B be 100 J. The potential energy difference between point A and point B is 100 J. The potential difference between point A and point B is also 100 J.

Now, suppose we choose a different point as the zero potential energy point. Let us choose point C as the zero potential energy point. Let the potential energy at point A be 50 J. Let the potential energy at point B be 150 J. The potential energy difference between point A and point B is 100 J. The potential difference between point A and point B is also 100 J.

Thus, the potential difference between two points is independent of the choice of zero potential energy or zero potential.

Conclusion:
In summary, the potential difference between two points is independent of the choice of zero potential energy or zero potential. This is because the potential energy or potential at any point in the electric field is relative to the potential energy or potential at some other point in the field. The potential difference between two points is the difference in potential energy or potential between those two points.