I'm not sure what you are saying here.
With a ground loop, the noise is not already on the signal in the DAC. It gets added to the signal at the receiving end of an unbalanced analogue interconnect due to the ground potential difference between the sending device and the receiving device, which is caused by the ground current and the impedance of the ground connection.
With a balanced interconnect this noise is still added to both signals but cancels out if the impedances are balanced.
However, breaking of the ground loop using galvanic isolation somewhere downstream of the ground current source is a far better solution. Toslink is a very effective and easy way to achieve this.
Ground loops are not a component problem, they are a system problem. Though some components are better at creating ground currents than others.
I only reported on experiences with the appearance of USB 2.0. This only affects problems with hum loops that exist between the computer and the DAC and could also be identified as the cause there.
In most cases, both outputs, SE and Balanced, were affected. In these cases, the PCs were always cheap consumer or self-built devices.
However, these problems became less common with DACs with XMOS chips after the XU208 generation. This may be mainly due to the developers' better support for power supply and galvanic isolation. XU208 and other USB solutions for audio were often powered from the 5 volt USB cable.
With MACs and business devices in the pro audio and hi-fi sector, I only had the problem with a hum loop in one of well over 50 different DACs.
This is striking to me, but it doesn't necessarily correspond to other experiences.
But I haven't had these problems with ground loops in my hi-fi system (ok, twice in 30 years), despite many different devices.
However, this experience corresponds to that from my IT job in the area of high availability hardware. When I started, this employer used inexpensive PCs with many special devices for development, measurements, calculations, print systems, etc., most of which were connected via USB. Lots of hardware issues and failures, lots of USB issues and lots of Windows/OS issues. After replacing all devices with HP business devices, all of these problems, especially with USB, were eliminated and were now the exception and not the rule. An IT team of 12 people for around 1000 devices could be reduced to 4 and concentrate on important tasks.