If the Telecentric sees a light cone, its negative lens expands the light cone, making the light rays more parallel, i.e. a 2X turns the angle of the f/4 rays into an f/8 light cone.
But, the positive lens that follows pulls the rays back in, returning the rays to the f/4 angles, only now the image scale has been expanded by the negative lens and the image is magnified.
When that precedes the Paracorr, the Paracorr sees the original f/ratio light cone, only with an expanded image scale. So coma correction is the same as if the PowerMate weren't used.
The Paracorr may have a different position relative to the primary mirror, however, because the focal point has been moved by the PowerMate.
Because the Paracorr does not fully seat in the PowerMate, as I recall, the position of the Paracorr moves in somewhat, but I don't remember by how much.
Now, if the PowerMate is used after the Paracorr, it is as if the eyepiece had an additional magnifier in its base, i.e. was converted to a very long eyepiece.
But the position of its focal plane will have changed slightly, requiring a different setting of the Paracorr's top for optimum spacing.
These complications made me obtain shorter focal length eyepieces and ditch the PowerMates.
However, germane to the issue at hand, a PowerMate should work fine with the Houdini eyepiece. A Barlow, I don't know.