It seems to me that there are actually 2 parts to the ATIS transmission at some airports -- the actual weather report and all the airport NOTAMs, etc. In HKG, for example, it is often very clear when another voice comes on for part of the transmission (and it is not a changeover, because it persists while listening for several cycles).
If the technology allows loading separate transmissions that follow in sequence, then you might be able to broadcast, for example, the hourly weather report followed by the to-the-moment wind and RVR...