Composite bolometer structures have provided the most sensitive IR detectors for operation at helium-4 temperatures of 1.5K. Below 1.5K the electrical and thermal properties change significantly and the performance characteristics cannot be accurately extrapolated for composite bolometers at helium-3 temperatures of 0.4K. The paper deals with experimentally assessed performance of composite bolometers at 0.4K. It is found that sensitivity estimates derived from electrical or load curve properties can overestimate the responsivity to radiation by several orders of magnitude depending upon a particular material behavior. For many near-millimeter applications background power levels are several nanowatts and the associated photon noise plus Johnson and phonon noise components impose a fundamental detection limit of about 5 x 10 to the -15thW/Hz to the -1/2. We have successfully fabricated composite bolometers which at 0.4 K and millimeter wavelengths achieve a noise equivalent power of 7 x 10 to the -15thW/Hz to the -1/2 coupled with a large absorbing area (0.3 sq cm) and a fast response time (2 msec.).