Tacoma vibrates when turning only when Cold

So basically, when pulling out from where I am parked and turning my wheel all the way left, my truck vibrates only at slow speeds and dead stops. It doesn't do this when speeding. I am almost positive it is coming from the rear of the truck. It even goes away If I use it throughout the whole day.

It is most notable first thing in the morning when heading out and when turning. If I use the truck the whole day, the problem goes away but comes back first thing in the morning.

I have already put two tubes of lsd additive fluid as well as replaced and drained everything and it went away for maybe a couple days and came back. I am convinced it has to be something else but I am completely lost.

Any ideas or feedback will be appreciated. Thank you.

I own an 07 TRD Sport with 128k miles

 

The additive you use can make a difference. I am told Sta-Lube Equa-Torque Friction Modifier is better than most others, maybe worth a try. Also, use dino instead of synthetic, which is too slippery.