correction and it works from practical experience
Bill Tindall, E.Tn.
Not transmission oil.....differential oil. It has a big viscosity number, like 80 to 120. It is designed to stick to parts and it sticks to bearings in these
Lazy Susan things. I have 6 of them in service and none make noise any more.
I tip the device on edge and squirt in some of this thick oil into the race to make a puddle in the bottom of the race. Then slowly rotate the inner race to move the bearings through this oil puddle. When the bearings are covered they become quiet, even to a deer's ears.
This approach might not work for your application. This oil might have an odor that would be objectionable indoors. If over-oiled excess oil could seep out in some undesirable place. But it does work to quell the rattle sound of a new bearing.
Whatever you can come up with to coat the bearings to make them sticky will work. The sticky coating will slow the velocity of the bearings crashing into one another and damp the sound of them crashing into the race.
I tried veggie oil and it gummed up after a couple of years. Olive oil might have performed better as it is less prone to polymerizing. A heavy weight silicon oil would be perfect.