You are twisting my brain a bit but I think it will always center itself won't it? at least across parallel sides. So if the piece is perfectly square than you will always get a pefectly centered point.
Case: Take a long piece of stock 2" thick by 4" wide by 1 foot long. Rake the blade over to say 15 degrees and do a first long cut standing the stock on edge making sure the cut depth of cut crosses the center line of the 4 " side, say 2 1/2 inches, leaving 1 1/2" of flat. Then roll the piece end for end and pass it through again. The new cut essentially miters the piece and the ridge will be at the exact center. There is no material left for it to move the ridge beyond the center line.
Am I crazy?
Actually you are absolutely correct! I stand corrected. I had to go try the experiment out again but heading out to the shop I was wondering that if your statement was true how did I get less than espected results previousely.
I just made the 4 cuts again with the blade cutting well into the upper half and by golley it all came out centered.
HOWEVER my piece was not square and what I end up with was 4 lines heading to the "general" center of the blank. The result was similar to looking at a rectangle roof that slants down on all sides at the same angle. that is probably what I was remembering from the past. For the lines to come to the same center point in this rectangular piece I would have had to change the angle of cut for opposite pairs. Had the piece been square I would have had the single point.
Thanks for making me rethink and redo.