The points along the [Curve3D] of the [Path] are precomputed before use, for faster calculations. The point at the requested offset is then calculated interpolating between two adjacent cached points. This may present a problem if the curve makes sharp turns, as the cached points may not follow the curve closely enough.
There are two answers to this problem: Either increase the number of cached points and increase memory consumption, or make a cubic interpolation between two points at the cost of (slightly) slower calculations.
The distance from the first vertex, considering 0.0 as the first vertex and 1.0 as the last. This is just another way of expressing the offset within the path, as the offset supplied is multiplied internally by the path's length.