In my experience, modern code is either written almost entirely in terms of sized values like int32_t (when assuming a "normal" platform), or almost entirely in terms of _least/_fast values (when going for maximum portability). The only case that "naked" int/long is still common in this model is in a few specific uses such as loop indices where it's idiomatic.
The _fast and _least types are especially interesting, pragmatically. "int_fast8_t" means "I need a signed value that can store values between -128 and 127, doesn't have defined behavior on overflow, and is allowed to fill a register / use a word worth of memory." "int_least8_t" means "I need a signed value that can store values between -128 and 127, doesn't have defined behavior on overflow, and I am likely to have a significant number of these in memory so please pack them as efficiently as reasonable." (And of course we have bit packing when we need to pack more efficiently than reasonable; bit-packing with int_fast8_t allows you to represent "I need this to take exactly 8 bits of memory, whatever it costs compute-wise, because I'm basically filling memory with these.")
In general, I find that these types give modern C a good balance between declaring requirements on types and not overly trying to control their size.
I assume you meant `int_least8_t`?
AFAICT, "int_fast8_t" is generally typedef to "int", and "int_least8_t" is generally typedef to "char", which conflicts with "I need this to take exactly 8 bits of memory, whatever it costs compute-wise, because I'm basically filling memory with these."
I'm fond of Ada's approach: generally you just specify the range you want and let the compiler figure out the best integer size to use. You only need to specify a size if you're doing low-level work or FFI.
Interesting that modern languages like rust, go, and zig all lean towards using integer types with well defined sizes. I think that we've learned that the less exact definitions in c can cause problems. For example, if you develope and test in an environment where int is 32 bits, you could easily end up with bugs that only exist if int is 16 bits.