Here's a presentation by
ESS on digital versus analog volume control. Getting a bit old, but it does acknowledge
@yue's point, that ultimately analog volume control is best, but well-done digital can get close.
Like most things, my take is that it's a matter of implementation quality, which is a continuum. At the state of the art end, analog wins. But as you back away from the top-notch end, certainly decent digital can be better than mediocre analog. Clearly there is a cost to do analog right, and I suspect it's a hard sell to the accountants for a "budget" device like the DX3 Pro, particularly when you already have it for "free" with the DAC chip. Also, you could always disable the digital volume control by setting it to 0dB, then put a pre-amp between the the DAC and amp.
While we're on the topic, what do higher-end DACs, such as Benchmark or ADI use for volume control?
Amusing anecdote on my experience with this: I had a
heavily modified DAC, that I thought sounded fantastic. This is back when my listening was almost entirely nearfield, i.e., tiny amounts of power, low volume. So my volume control---analog---was a simple potentiometer between the DAC and power amp. The volume always stayed under 20% or so. Eventually that DAC and amps got shelved, and I was able to get away from a nearfield setup.
Someone came along and wanted to borrow my DAC. I dusted it off and powered it up to make sure it still worked. But at this point, I no longer had the volume pot on my amp, so I was forced to use digital volume control: specifically, volume control on my PC. Even with the volume "low", it turns out, somewhere along the way my modifications clearly broke something (or I implemented them incorrectly), as there was a non-trivial amount of noise/static coming through, along with the music---basically un-listenable.
Clearly, the volume pot I was previously using, given that I always kept the level so low, was effectively masking the noise.