A rust product that you can use to treat rust is a product called Rust Converter.
In the areas that you have applied and used the rust converter you will also be washing the surface off ( this is all part of the instructions)
You would not need to then clean these washed areas with Lacquer thinners as the Rust Converter etches the surface and cleans it. Only the areas that you have not cleaned with the Rust Converter would require for you to clean with the Lacquer thinners.