You cannot apply a DNG profile to a TIFF file, even if you exported it as DNG , since the TIFF file already is color space encoded and had applied the white balance factors.
Not all DNG are equal, at the end it is just a container.
You can apply DCP profiles to Raw DNG or Linear DNG (demosaiced only, not fully processed)
A commonly used analogy:
Raw DNG - Raw
Linear DNG - Half baked
TIFF->DNG - Full baked