Fluke 27 CE, the slightly more modern military meter, mine is last calibrated 2009, also has short beep on diode forward. I tested the function on my Fluke 10 too, as well as verifying that it does not exist on the 8060A.
Slightly related: The 10 is nearly as fast as the 8060a (which has been described by its designer in another thread here as carefully designed to be really fast) on continuity reaction; whereas the 27 CE is sluggish compared to them. You can tell via the bargraph that the resistance decrease is registered, but the meter is silent until much later.