I strongly disagree. The programmer should rather prescribe intent and shouldn't constantly think about what size this should exactly have. Does this variable represent the size of an object, an address, a difference or just a random positive integer? Then use size_t, uintptr_t, ptrdiff_t and unsigned int respectively. Why should I care what exact sizes these are? I hate that modern (system) languages completely throw away that concept. "I want a unsigned integer" "oh, you mean u32" "No! I really mean an unsigned integer."
Also when I do want e.g. 32 bit available, there is no reason, I need to use a suboptimal 32 bit wrapping behaviour when I don't need it. The correct type to use for computation for that would be uint32_fast_t and the implementation chooses what makes sense to use for this.