In real diving, likely not. When your wet suit shrinks, your volume and that of your water/displaced body change the same. But your water 'body' loses mass and you do not. Say you wore neoprene pants. The displaced water loses mass in the leg area.
I will drop by to say I do experience this in a very real way when I dive the upper half of a 7mm farmer john. My fins and bare legs are relatively unaffected by increasing pressure regarding buoyancy characteristics and my core (with long sleeves and hood) compresses and becomes negatively buoyant. Of course my bcd will counteract that but in a negative free descent I start out trimmed and end up feet up as my trim changes with depth. The bcd addresses this issue.
So in summary, I am now claiming changing DEPTH does effect trim. Depending on if the exposure suit is balanced.
Imagine an air filled balloon on a stick with a wax ball on the other end. Afix a weight in the middle to achieve perfect trim at 10fsw so the buoyancy of the balloon and the opposing wax ball are rendered balanced and neutrally buoyant.
Now, bring it down to 200ft. What happened to the trim?
Does this mean in a minuscule way the same is true salt to fresh?