The emphasis on compilation time there is because the JIT provider that comes with Postgres (LLVM-based) is broken in that particular area. But you're right, JITed code can be cached, if some conditions are met (it's position independent, for one). Not all JIT providers do that, but many do. Caching is on the table, but if your JIT-compilation takes microseconds, caching could be rather a burden in many cases. Still for some cases useful.