You just proved it's not performing remote code execution. There's nothing in Log4j that lets you run any code. It does a lookup, but that is not executed code or arbitrary code.
>>There’s nothing in Log4j that lets you run any code.
Did you miss THIS?
“And not just any old download: if the data that comes back is a valid Java program (a .class file, in the jargon), then the server runs that file to “help” it generate the logging data.”
Downloading and running arbitrary code seems like a bad idea.