Loongson started with MIPS CPUs but current CPUs are not MIPS-compatible. LoongArch, while being very similar to MIPS, uses a different encoding. And some other details have changed. Better to say, MIPS-inspired.
Even if it had, LoongArch is much more similar to MIPS. LoongSon would have had to make more microarchitectural changes before being able to tape out their first non-MIPS CPU.