Yes, my Import line looks like this:
reducedMeshVertices = Import[fileReducedMesh, "VertexData"];
The meshes look the same both in version 10.1 and 10.2. But I use Mathematica to calculate with the meshes, not just to visualize them. I am performing landmark-based rigid registration as a first step in my algorithm. It is crucial that the correspondence between the landmarks in two meshes remains intact and is consistent.
Is there a way that I can import the .ply file while I can count on the same order of the points in different versions, perhaps even the same order as in the source file? Consistency within one version seems to be present already.
As a side remark, I think it is a bit strange that importing a file does not produce the same order of points as in the source file, and not even between Mathematica versions.