It seems to be taken as a given that it’s too late to segregate the storm water system from the sewers.
The specific project I linked to involved installing over 25 miles of storm drain to avoid combined sewer/storm overflows into the ocean. We lived on one of the impacted streets.
Older houses had gutter downspouts that dumped all rainwater into the combined storm drain/sewer system. The MWRA came to neighborhood association meetings, and helped residents to re-aim downspouts onto green space.