The '73 bumper is a really heavy piece that was used to meet the 5mph impact standards that were put into effect in 1973. The 71-72 bumper brace is different, and onlyweighs about 15 pounds. However, i don't think that you could use the 71-72 inner brace with the '73 urethane cover since the shape on the inside of the cover is different (the '73 brace being much thicker). Maybe you could fill the extra space with something else? (Pour in some epoxy or liquid urethane foam? A shaved down 2x4 even?) It's been a long time since I worked on a '73, but i think the brace is about 3x3" thick. The earlier piece is only a thin piece od metal with a 1" rolled lip on the front edge.
The 71-72 cover wouldn't work for you since the ends are shaped a little different and don't match up with the indentations in the front edge of the fenders. Those too are different between 71-72 and the 73.