DACs have one function, to convert the digital streams of ones and zeros into analog sound. It is why they are called Digital to Analog Converter.
Streamers, renders, etc are sources , that get the digits from somewhere, and then feed it to a DAC. They may or may not contain the DAC within, much as a CD player combines a transport to read the digits and a DAC to turn it into sound.
The question the OP is posing is whether it is better to combine the source with the DAC.
Personally I favor keeping them separate. DACs have different philosophies (architectures) as to how to do their job, and the OP identifies a few. It’s easier to try different DACs and judge their differences if one keeps the source constant, and the same is true with judging differences in sources