Honda - Accord :: 1995 - Grinding Sound When Turning?

Here is the issue with my car. It's a 1995 Honda Accord sedan, automatic transmission, inline 4. For the past 6 years or so, when you take a turn at a certain angle and a certain amount of acceleration and a certain amount of speed, it'll make something like a rhythmic grinding sound until you straighten the wheel and escape the turn. It happens far more often on left turns than right turns.

Adding to the oddity, say you are getting ready to take a left turn. Now if you are at a turn where the angle, acceleration and speed necessary to make the sound -- the sound can be completely avoided if you accelerate straight, let go of the accelerator, then use the momentum to turn, let the wheel straighten out to complete the turn, then begin to accelerate again.

A while ago I took it to a major repair center and they took out all the axles and some how concluded that it was the transmission. I really don't understand how it could be that, as the car shifts fine, and the sound never occurs when going straight. This past week, I took it to another mechanic, and he concluded that it was the axle shaft on the left side, maybe the axle shaft on the right.

So I had the left axle shaft replaced. I drove it home and didn't notice it, thought it worked; the mechanic himself drove the car around for hours after and didn't notice anything. Just to be sure, I take the car into a cul-de-sac that has the perfect turn angle to make the sound. Guess what, it's still there, albeit muted a little bit.

I am wondering if it's worth it to fix the other axle shaft, how it's possible that it could be the transmission, or if it's anything else that's possibly wrong. Again, this sound has been going on for years. I am completely frustrated and want it gone. I am thinking about making a video with the sound...