Acceleration or gravitational time dilation the same?

[pmb_phy]

That's Not true. Einstein field equation does Not imply that gravity changes with distance from the source,
It depends on the source itself. So it's possible for gravity to change very little with distance from the source or no change at all, uniform gravitational field

That is quite correct. However one has to be careful in this respect because its tempting to use Newtonian intuition and as such you may arrive at the wrong answer. Consider the example of a uniform gravitational field. In Newtonian gravity the strength of the gravitational field, as measured by the gravitational acceleration ( the gravitational potential varies with height so it is not constant) is the same throughout space. In general realtivity the gravitational field is measured by the Christoffel symbols. The Christoffel symbols for a uniform gravitational field is, unlike the Newtonian case, a function of height.

Pete