The authors have compared the shot-noise properties at T = 4.2 K of a double-barrier resonant-tunneling diode and a superlattice tunnel diode, both of which exhibit negative differential-conductance (NDC) in their current-voltage characteristics. While the noise spectral density of the former device was greatly enhanced over the Poissonian value of 2 eI in the NDC region, that of the latter device remained 2 eI. This result implies that charge accumulation, not system instability, is responsible for shot-noise enhancement in NDC devices.