The left artery is being basically fed through collaterals which have opened near the bottom. However, this may not be enough for the heart. A nuclear test is ideal in this situation or perhaps visually the angiogram shows the LAD as being a very shrunken vessel. When I had a total blockage in the LAD that was fed by collaterals, the vessel was like a piece of cotton thread to look at. It was hard to imagine it could even keep me alive.
A nuclear stress test will provide an image showing how much blood is getting to all areas of the heart. It's almost certain that if the vessel is low in blood flow, then a bypass will be recommended. strange how the report doesn't state whether he is left or co-dominant, it simply says not right dominant. If left dominant, then the low circulation in the LAD will almost certainly be affecting the posterior descending artery too.