And regarding optimization. Language-defined integer type size is one thing and CPU register sizes used in calculations is different thing. It's not like having 32-bit int forces you (or compiler) to use 32-bit registers.
For every int we (i.e. programmers) should be aware of possible min and max values that can be stored in it. Thus we can easily use fixed-size ints everywhere, paying attention to signedness too of course. The problem is that there is high temptation of using int most of the time, because it's easier to write (it's shorter). For the same reason many C programs use int instead of unsigned short or uint16_t for instance. Well-defined int size is part of self-documenting code, as it shows mindfully applied constraints.