Actually, a heavy weight will make a noisy bearing run quieter.It may, but it's also a sonic band-aid that's unlikely to be the optimal mechanical approach.
Some TT bearings have inherently sloppy tolerances and need grease. Others have tight tolerances and need a lightweight oil. A bearing designed for grease that's running on oil is likely to chatter. Adding a heavy weight might stabilize it and/or dampen the chatter, but it would be better to use a more appropriate lubricant. The appropriate lubricant for a TT bearing depends on its tolerances and materials.
OTOH, some bearings are noisy because they've worn due to friction. In these cases, adding a heavy weight might temporarily dampen the noise but it will also increase friction, causing the bearing to deteriorate even faster. This would be the worst possible approach, as it masks the problem while simultaneously exacerbating it. The indicated approach would be to repair/replace the bearing.
Noise is a clue that something is amiss. Masking the noise without identifying and addressing the root cause is not the path of progress.