"Specific" properties are expressed on a per mass basis.
If the units were changed from per mass to, for example, per mole, the property would remain as it was (i.e., intensive or extensive).
Work and heat are not thermodynamic properties, but rather process quantities: flows of energy across a system boundary.
Systems do not contain work, but can perform work, and likewise, in formal thermodynamics, systems do not contain heat, but can transfer heat.
An exception would be if the effect of gravity need to be considered in order to describe a state, in which case altitude could indeed be a thermodynamic property.