The short answer to "why does QEMU use JIT compilation" is "because it is faster than other ways to do it, like interpreting, but it can still handle any arbitrary guest binary". There has been some work done (not in QEMU itself, but by other projects or research work) on emulation by statically translating guest binaries into code for the host architecture, but this is tricky and you still have to be able to fall back to something like JIT to handle guest binaries that involve self-modifying code or which themselves are JITs (think of running a Java guest inside QEMU).
It is certainly possible to have an operating system which is compiled into an IR bytecode which then executes portably on a virtual machine on a variety of hosts. Historical examples of this include Taos (http://www.uruk.org/emu/Taos.html) and the UCSD p-System (https://en.wikipedia.org/wiki/UCSD_Pascal). Note that you would still here probably want to implement the bytecode-execution engine in such a VM using a JIT, because it's faster than interpreting the bytecode, and there might well be some host-CPU-specific bits of the VM implementation as a result.
However, that sort of portable-operating-system endeavour is an entirely separate idea from QEMU, whose purpose is to run under emulation existing pre-built binaries for a given guest CPU architecture.