Can't refer to other types, however, in the 'ole L1011, heavy weight climbs are always done at a higher IAS, due to the fact that the wing is designed to be much more efficient at those higher airspeeds/mach numbers, at those higher weights.
Same for the 'ole 707, as well.
Once reaching the desired cruising level, the mach number selected, for efficient fuel consumption, is certainly desired.
For the L1011, this would be M.85....for heavy weights.