I have the same issue with my 1992 Loyale. I changed the front passenger axle due to the usual clicking / grinding noise when making turns. After the axle was replaced the 1st time a slightly different noise appeared but I was told that it was the axle again so it was swapped out. Cut to 4 axles later in the span of 2 months I'm now dead set against the idea of it being the axle. The noise is now only present when I have it in gear and gas to the pedal. There is no noise when coasting or if it's in neutral.
I posted on cartalk and the folks in that chat community seem to think that it's something to do with the transmission. The two best opinions I've heard are the conewasher and the transmission. I just don't know much about the two options or what the best way to diagnose it is. Thoughts?