I'm not familiar with your table design.
I've had some good success using the light duty bungee ball cords to secure latch styles which don't stay locked. My method is generally to position the bungee so that it keeps the latch in position. I don't use the bungee to secure any actual load.
The ball bungees also work to keep those wooden dowel type clothes drying racks from collapsing. Again, I use the bungee to hold the latch groove tight against the dowel. The bungee is not used to take any load. On those drying racks even a plain rubber band from a celery stalk is quite effective.
The ball cord may work for you as a temporary measure to lock the latches on your table and help to prevent collapsing. A properly positioned cable tie may be another alternative. FWIW. vic