That's totally incorrect.
Many delta sigma DAC chips provide direct DSD path possibility and many DAC manufacturers utilize that possibility with D/S chips. Just look at the
DSD part of the AS list. DAC chips used in those devices are ALL of delta sigma design. You don't find ESS based DACs on that list but not only ESS chips are delta sigma design ...
Also discrete DSD designs like Holo, T+A, including Jussi's DSC1 and DSC2 ARE delta sigma design, since they work ONLY with delta sigma modulated input signal (what DSD actually is).
Look how Jussi described his
DSC1:
"DSC1 is an Open Hardware, "discrete" delta-sigma D/A-converter specifically designed for 256x and higher sampling rates and optimized for seventh order modulators used in Signalyst HQPlayer."
DSC1 does not contain any delta sigma modulator. But it requires delta sigma modulated signal on its input. Like all direct DSD capable DACs. DSD signal is result of delta sigma modulation and no other than delta sigma based D/A section can accept such signal.
DSC1 and DSC2 open hardware DACs were inspirations for DAC manufacturers like Holo. They share the same design principles. That's all delta sigma. Just other way than is implemented in few dollar costing and hardware compromised chips.