I agree, there has to be a gap otherwise the head could not pick up the narrow vertical magnetized strips on the tape correctly. The AKAI heads of the GX-365 are surfaced with a crystal like material that prolongs the wear life of the heads. Since the glassy surface appears to be intact, the gap must still be there somewhere in the center of the V angle. What makes this puzzling, is that all components used by forward and reverse are the same, including the head. One would imagine that either forward or reverse should be reacting the same with either direction of tape movement. The head, being critical for alignment, must be the problem. When I rotate the playback head around the y axis a few degrees to correct for the approximate 2 degrees off alignment I mentioned earlier, the forward and reverse appear to be acting the same as before rotation. Using the protractor again, I appear to have slightly over rotated the head housing. I can rotate a little back to where it was set originaly to find a more central position. While the head housing is removed, I can also check for the gap more closely with a magnifying glass and mark it with the grease pencil before remounting.
What would happen if the ground and signal connection at the back of the head was reversed? Judging by the sloppy job of the previous repair, it is possible that the head could either have been replaced upside down or the signal and ground wires reversed. Of course, the soldering of the wires could have damaged the head by overheating.
If all else fails, I will just have to use the tape deck in the forward direction only. At least I gave it a good shot and it has been good exercise for a brain in retirement.
Welcome to the sixties. I am 67.