Many original rosebushes in our gardens are actually grafted rosebushes. This means the top part we enjoy has been grafted to a much more hardy rootstock or different rose altogether. So if we start a new rosebush from cuttings off of the ones we have, it may be far weaker on its own roots and thus not survive the Winter tests they must go through. I am in Colorado where it is a real challenge for many roses to come back each year after winter. If the roses you want to make more of are truly Own Root roses, then doing the cuttings to start new ones should be fine. Here is a link to an article that will be of help to you: https://www.gardeningknowhow.com/ornamental/flowers/roses/roses-from-cuttings.htm .
Stan the Roseman
Consulting Rosarian
Gardening Know How