You could, but then you could also just explain in your letter of explanation that there was a misunderstanding relating to your employment, and then provide the details.
I just feel like it might complicate your application, because from what i remember you have different headings under which you attach work references for each work experience you're claiming. Where would you upload the documents for the experience you're not claiming? Along with one of the ones you are claiming for? It would appear odd.
Unless you attach it along with your LOE in one pdf document, that might work. You can do so if you want to provide evidence of what you're saying, but i think their focus will be mainly on what you are claiming for points. But if you can include everything in one document, i think you can do so. I understand the desire to refute the notion that you misrepresented your experience.