Our airline said it was ok not to dump fuel and land overweight if it was as safe as landing as MLW. I thought about this for a minute and visualized my FAA hearing landing overweight to save money and decided I wasn't going to do it.
A month later I took off in a 727 for South America with a tropical storm enroute. I got a plane with a radar written up as intermittent and got the usual ground checked ok fix. There was a bump on the runway just as we rotated, the radar failed. We pulled circuit breakers and talked to maintenance but still no radar. We dumped to max landing weight and returned for a bad radar. I would do it again before flying in known thunderstorms with no ATC radar and no aircraft radar.