Few minutes ago I was testing a faulty PC power supply with 161D (61D+), and I can certainly tell you, this type of continuity test is total garbage. It confuses a lot with all these delayed and double, sometimes even triple beeps, depending on the nature and value of the resistance. On the other hand, there is a Brymen BM789, for example, which responds instantaneously to loads up to 100-420 Ohms, which is kinda annoying, too, because a 100-420 Ohm resistance is not even close to being deemed as a short path, unless there's heavy oxidation at the contact points. So, you have to check up the screen readings each time to eliminate false positives.
To my taste, the UT161E/UT61E+ outperforms Brymen and similar meters in this aspect.