It's not better or worse. Just different purpose.
I have SRS PRS-10, the rubidium standard. One of the characteristic of this unit is a HUMP around 0.5 to 1 second. If I use 1Hz offset, converted signal is 1Hz. That would mean measurement is made once every second. Clearly, that's not fine grained enough to detect something happening a sub-second interval. Raising it to 10Hz offset produces 10Hz. I can measure at 0.1 second interval. That's what I need.
Also, one of my interest is Crystal oscillators, including ovenized ones. Almost all crystal oscillators fall apart, Adev wise, at beyond 300 seconds. At 100 seconds most will start to show problems. I want to be able to measure better than once a second.
As far as I know, de-facto standard for DMTD is 1Hz. This is a special case.