With these so-called "Full Digital Amplifiers" like the one I linked to, you actually feed it a digital signal and it doesn't contain a dac in the traditional sense. It actually converts from PCM (or in some cases DSD as well) into pulse width modulation (PWM) in a more direct way than if you feed the output of a traditional dac into a regular class D amp.Not to be picky but isn't the converter handling DSD or PCM and the amp being fed an analog signal? Class D wouldn't figure into this, would it?
As another apt commenter pointed out here, what you're doing in that case is deferring the conversion to analog to the last possible point in the chain.