The parent is completely right in the sense that for actually portable C code it was always better to use fixed-width integer types which were chosen for the problem to solve instead of target hardware capabilities.

For instance if your integer arithmetic needs to happen with 32 bit precision (no matter if the code runs on a 16- or 32-bit CPU), there is no scenario where using 'int' makes sense. Instead you'd use a fixed-width 32-bit integer type and accept that math operations are compiled into two instructions on a 16-bit CPU.

And OTH if you only require 16 bits integer width, there's not much point in picking a 32 bit integer type. Since two's-complement integer encoding has been standard since at least the 70s, the CPU can do narrow operations in the native register width. Any overflow/wraparound is still correct when only looking at the lowest 16-bits of the result.