You "imagine" incorrectly. A functioning Obj-C requirement requires a runtime. Currently that runtime (libobjc) is written in C, and it requires a C library to function. Yes, you can rewrite those portions to use only functions available in kernel-land, but it is by no means "easy" as you suggest.
This just goes to show you don't understand compilers.
No, admittedly, I don't, at any more than a basic level. But you're still wrong.
Try compiling, linking, and running an ObjC program without the ObjC runtime. See how that fails. See how long it takes you to write a minimal runtime that can run your program in user-space, and then kernel-space. It won't be quick.
Try compiling, linking, and running a plain-vanilla C program without the "C runtime" (I guess you mean a combination of libc, libgcc, and crt.o, basically what you get when you pass -nostdlib -nostartfiles to gcc). Yep, that'll fail too. Then get it to compile and run anyway. Not that hard.
That's* the difference I'm talking about.
At the very least, kernels like Linux and Mach/Darwin already have kernel-friendly replacements for the libc functionality they commonly use. Doing something similar for ObjC would be time consuming. Certainly it isn't impossible, but note that I never said that: I merely pointed out it wasn't easy.
C hardly requires it's runtime. Objective-C without the runtime is just C, if you write the runtime, GC, and other low-level system components in the C subset of Objective-C you are just writing the kernel in C.
This is in the original context of how all systems will be written in "GC enabled system programming languages". If the language is not GC enabled due to missing a runtime or w/e then the technicality isn't relevant.
I imagine that the kernel can easily compiled with the Objective-C or Objective-C++ compiler, if Apple so wishes.