I'm saying the structure doesn't make sense, unless by, "due to", you mean, "The Holy Spirit is already in the Christian, we know because we can see the Holy Spirit's effects—to wit, the faith and imputed righteousness."
Either way, you seem in agreement with me that "imparted righteousness", if it is not the same as imputed righteousness, is a misnomer, or worse, an invention.
I don't know that the OP intended 'imparted righteousness' to be complete righteousness apart from the further 'sanctification' of walking with Christ. But I get your point, I think, if he did not.
Interesting notion. However, God does not measure how we do. Imparted (or imputed, or sanctification, for that matter, or any) righteousness, whether we consider it earned or developed by OUR works, is not ours to measure, I think.