Translating velocity to local directions?

I was refering to “velocity is generally non directional” → Velocity is a vector: Velocity - Wikipedia

Point in space is a coordinate represented by a vector data type and indeed has no direction.

The difference between the two is obvious when you compare 4x4 transformation matrix which has 1 for point and 0 for direction. Sure you can interpret the velocity as a point in space, but does that make velocity in general non-directional?