Most gardening magazines recommend sticking prunings taken from blackcurrant bushes as the main way of propagating new bushes so I'm not sure whether your little plants will produce identical fruit. However, to most people "a blackcurrant is a blackcurrant" and I can't imagine that when your young bushes produce fruit they will taste very different. Prepare for a slightly long weight though. It could be two or three years before they produce a sizeable crop.