You will get a volume boost... but the only thing that probably means is that you will generally move the volume button one twentieth of an inch less clockwise on your preamp.
Most likely the quality of the wire will make a much bigger difference than then connection type.
But it can make a difference because component manufacturers do a better job of internally converting from the topology of the component to the opposite output.
For instance, I have Audio Research Equipment. It is of balanced design and that is what is recommended. However, it is very good equipment, so they spent a lot of time making sure the single ended connections were good. So, when I compared the same brand and tier of interconnect, I could hear no difference between single ended and balanced. I spent some time doing this. But I did not spend a couple week intervals with one, then the other... maybe then I would have detected a difference. I am sure Audio Research spent a lot of time make sure they sounded the same.
So, of course, you have to try to find out. You have different components. But you must compare using the same brand and model of interconnect.