I think we should first separate Singapore the airport vs Singapore Airlines.
Singapore Airport is serviced by staff from CAAS, which means the airport makes money from overweight baggage as well. So always talk to the airline rep.
As for Singapore Airlines weighing bags, I've flown it many times the last 6 mths and never been weighed once. However, I carry my housing without a bag(bare with a padded, so they know I won't be checking it in. This worked for all airlines and airport except Heathrow and various australian airports. However, after complaining and waving my FF status around, they allowed it.
I will say that as of today, SIA has limited US bound or origin flights to 50lbs/23kg per piece of luggage. Which means for video housing and lights in one bag, it's party over baby. Forget pelican or storm cases as they weigh about 1/3 of the allowance. It'll be interesting to see how strictly they enforce this.