I and my research advisor have a manuscript that still requires some final polish to be sent for peer review. In the meantime, I am applying for graduate school. Some graduate schools allow me to upload any additional material I think helpful.
First note: We are not worried about our idea been stolen even if we expose it on the internet(My advisor even put all his finished manuscripts on arXiv, including those rejected by peer review. He in fact wants his work be read by more people and more people could exchange ideas with him, unlike the majority of academia who would keep their work not openly-accessible before published).
I ask my advisor for consent that if I can include the current version of the manuscript as a draft of our work in my application to those schools? The advisor is not familiar with how grad school admission goes in the US so he said he understood that I want to present research experience but he prefers that I state them in SoP instead. He further said nevertheless if I really want to present a draft, I need to follow the ethics code in that the ultimate rule is that I cannot damage his academic reputation, at least point out in the draft that it's not the final version in his view.
Although I have this consent, I still hesitate about it. Which one makes a stronger application? Including a Draft? or just state my work in SoP? Or the difference is trivial?