Here's something I fished out of the Formula one pond.
"Minimum weight (kg)

"Minimum weight (turbos) (kg)
The rule makers believed excessively light cars had become an unacceptable hazard to drivers. In preceding seasons it was not uncommon for teams to drill holes in parts of their cars, such as the steering columns, to shave off weight in the pursuit of performance.

Unsurprisingly it was Lotus owner Colin Chapman, whose preoccupation with weight-saving bordered on obsession, who pointed out that light weight and safety were not necessarily mutually exclusive, and that recent fatalities had befallen drivers of the heaviest cars on the grid.

Chapman not unreasonably argued a heavier car is harder to slow down in a crash and dissipates more energy in an impact, making it more dangerous. But it was also true that many of his drivers were concerned his pursuit of low weight went beyond merely putting too little fuel in his cars and resulted in chassis that were too fragile and put them at greater risk".

There is reason here from both sides and people should be careful about what they do to their cars in the pursuit of Happiness in Performance. If in question, I always make it a point to have a frequent multi-point check on stuff just to be safe.
This practice also finds potential problems that could/would be occurring without anything to do with weight loss, though like said above, less weight has the potential most of the time to keep breakage to a minimum compared to the heavy weights.