Yes — it follows from the design and is not a fault. In a safety pen the nib and feed are drawn down into the barrel, where they sit directly in the ink supply. That is intentional: it keeps the feed permanently wetted, so the pen starts writing the instant the nib is wound out. A nib coated with ink is therefore normal behaviour for this construction, and the film disappears after a few strokes.
If you prefer a clean nib, there are two things you can adjust. First, do not fill the barrel right to the top, but only far enough that the retracted nib is not standing wholly in the ink. Second, storage is decisive: a safety pen kept lying flat spreads the ink along the whole length of the barrel and so over the nib as well, whereas one stored upright with the nib uppermost stays markedly cleaner. That is why these pens used to be carried clipped into a pocket. A lower fill level combined with upright storage solves the problem in practice, with no need to alter the pen itself.