I see no such distinction in the text, faith is simply faith. Take James as an example, he uses the exact same faith that Paul uses in Romans to demonstrate that it is faith by works that justifies. That is, the faith of Abraham in God's ability to deliver the seed. And James states that it is this faith that justifies. So it seems to me James is explaining what saving faith is.
In James 2:21, notice that James does not say that Abraham's work of offering up Isaac resulted in God's accounting Abraham as righteous. The accounting of Abraham's faith as righteousness was made in Genesis 15:6,
many years before his work of offering up Isaac recorded in Genesis 22.
The work of Abraham did not have some kind of intrinsic merit to account him as righteous, but it
showed or manifested the genuineness of his faith. This is the "sense" in which Abraham was "justified by works." He was
shown to be righteous.
Romans 4:2 - For
if Abraham was justified (accounted as righteous) by works,
he has something to boast about, but not before God. 3 For what does the Scripture say, "Abraham
believed God and it (faith, not works) was
accounted to him for righteousness.