  We show that a recently proposed [J. Fleischer and P.H. Diamond, {\em Phys.
Rev. E}{\bf 58}, R2709 (1998)] one-dimensional Burgers-like model for
magnetohydrodynamics (MHD) is in effect identical to existing models for
drifting lines and sedimenting lattices. We use the model to demonstrate,
contrary to claims in the literature, that the energy spectrum of MHD
turbulence should be independent of mean magnetic field and that
cross-correlations between the noise sources for the velocity and magnetic
fields cannot change the structure of the equations under renormalisation. We
comment on the scaling and the multiscaling properties of the stochastically
forced version of the model.
