If the "more information" is useless, it can be ignored. JIT can't possibly be a worse strategy, because a JIT always has the option of simply doing an AOT comp

If the "more information" is useless, it can be ignored. JIT can't possibly be a worse strategy, because a JIT always has the option of simply doing an AOT compile at program start. That doesn't mean that in practice the JVM is faster than well-written C++; the Java language semantics almost prevent it from doing so in the general case. But in principle, if all else were equal, it should be able to be.