On a scale of 1 to Game of Thrones spoilers, how evil is this Java code?

gistfile1.java

/**
 * A handler specifically for LwjglExceptions.
 * This should be injected via Ioc into a LwjglWindow.
 * 
 * Any instance of an exception occuring in Lwjgl should cause the enclosing program to fail.
 * @author Dan
 *
 */
class LwjglExceptionHandler implements ExceptionHandler {
	private final Logger logger;
	private final SystemShutdownStrategy systemShutdownStrategy;
	
	/**
	 * @param logger - The logger to log messages to. We log to the TRACE level.
	 * @param systemShutdownStrategy - The strategy to use should we need to shut the system down.
	 */
	@Inject
	public LwjglExceptionHandler(Logger logger, SystemShutdownStrategy systemShutdownStrategy) {
		this.logger = logger;
		this.systemShutdownStrategy = systemShutdownStrategy;
	}
	
	@Override
	public void onException(Exception exception) {
		logger.trace("lwjgl encountered an error", exception);
		systemShutdownStrategy.shutdown();
	}
	
}

Reasoning being behind this is that Lwjgl throws unchecked exceptions on certain methods that obviously do not work with ExecutorService.submit(). As a compromise, I decided that I would catch the exception in ExecutorService.submit() and instead of swallowing the exception, I would pass it to an instance of ExceptionHandler.. and here's the implementation of ExceptionHandler