For comparison, here is a picture of an 044 with the screen removed, showing some deterioration of the aluminum coating (the dome itself is a soft-dome)
It's difficult from looking at your pic to see just what condition the dome is in, looking through the screen combined with reflections, etc. I do notice what looks like rust or other corrosion around the edge of the screen as well as on the metal screw on the bottom. It's possible that whatever caused that corrosion also affected the aluminum coating on the dome. The screw in your picture looks like it has been removed at some point in the past and borderline-stripped while screwing it back in. That would seem to imply that the tweeters were removed at some point. If it's just an issue of the aluminum coating on the dome, I wouldn't worry much about it. It seems to me that the aluminum coating was more for show than anything. The 044 tweeter dome is similar to the 033 dome, but the 033 dome has no aluminum coating at all yet still sounds great.