We simulate ballistic deposition with long-range temporal correlated noise of bounded amplitude in 1+1 dimensions. Good agreement with the dynamical renormalization-group calculation of Medina et al. [Phys. Rev. A 39, 3053 (1989)] is obtained for the scaling exponents when the noise is generated by a version of Mandelbrot’s fast fractional Gaussian noise (FFGN) generator. However, using the original FFGN, other exponents are obtained. We suggest that this error is due to an extraordinarily slow crossover caused by the existence of an anomalous growth mode incompatible with the KPZ equation. This may have implications on similar model-dependent results for recent simulations on growth with power-law noise and spatially correlated noise.