This is an internal implementation detail rather than a fact which is usually exposed to the user. This is essentially just explaining that the Zig compiler needs to figure out which functions are async and lower them differently.
We do have an explicit calling convention, `CallingConvention.async`. This was necessary in the old implementation of async functions in order to make runtime function pointer calls work; the idea was that you would cast your `fn () void` to a `fn () callconv(.async) void`, and then you could call the resulting `*const fn () callconv(.async) void` at runtime with the `@asyncCall` builtin function. This was one of the biggest flaws in the design; you could argue that it introduced a form of coloring, but in practice it just made vtables incredibly undesirable to use, because (since nobody was actually doing the `@asyncCall` machinery in their vtable implementations) they effectively just didn't support async.
We're solving this with a new language feature [0]. The idea here is that when you have a virtual function -- for a simple example, let's say `alloc: *const fn (usize) ?[*]u8` -- you instead give it a "restricted function pointer type", e.g. `const AllocFn = @Restricted(*const fn (usize) ?[*]u8);` with `alloc: AllocFn`. The magic bit is that the compiler will track the full set of comptime-known function pointers which are coerced to `AllocFn`, so that it can know the full set of possible `alloc` functions; so, when a call to one is encountered, it knows whether or not the callee is an async function (in the "stackless async" sense). Even if some `alloc` implementations are async and some are not, the compiler can literally lower `vtable.alloc(123)` to `switch (vtable.alloc) { impl1 => impl1(123), impl2 => impl2(123), ... }`; that is, it can look at the pointer, and determine from that whether it needs to dispatch a synchronous or async call.
The end goal is that most function pointers in Zig should be used as restricted function pointers. We'll probably keep normal function pointers around, but they ideally won't be used at all often. If normal function pointers are kept, we might keep `CallingConvention.async` around, giving a way to call them as async functions if you really want to; but to be honest, my personal opinion is that we probably shouldn't do that. We end up with the constraint that unrestricted pointers to functions where the compiler has inferred the function as async (in a stackless sense) cannot become runtime-known, as that would lead to the compiler losing track of the calling convention it is using internally. This would be a very rare case provided we adequately encourage restricted function pointers. Hell, perhaps we'd just ban all unrestricted default-callconv function pointers from becoming runtime-known.
Note also that stackless coroutines do some with a couple of inherent limitations: in particular, they don't play nicely with FFI (you can't suspend across an FFI boundary; in other words, a function with a well-defined calling convention like the C calling convention is not allowed to be inferred as async). This is a limitation which seems perfectly acceptable, and yet I'm very confident that it will impact significantly more code than the calling convention thing might.
TL;DR: depending on where the design ends up, the "calling convention" mentioned is either entirely, or almost entirely, just an implementation detail. Even in the "almost entirely" case, it will be exceptionally rare for anyone to write code which could be affected by it, to the point that I don't think it's a case worth seriously worrying about unless it proves itself to actually be an issue in practice.