In my experience I have found that it is the soundboard at the bridge, bulging up, is what causes most of the problem. Shaving the bridge weakens it causing it to bulge more.
I have repaired 2 guitars recently by using the Stew-Mac method of removing the bridge and heating the sound board and bridge plate with a heated aluminium caul and clamping everything down to take the bulge out and letting the guitar stand for a few weeks. Cleaning up the bridge and soundboard then reattaching the bridge.
I made my own cauls from aluminium for a few dollars and they work great.
The one guitar, an Ibanez Gibson lawsuit copy, lowered the action so much I had to raise the saddle.
The other was a Yamaha 12-string which a previous repair attempt had had the bridge cut between the pins and the saddle to give enough break angle for the strings over the excessively lowered saddle thereby ruining the bridge. When I got it off it was so weak I could bend it with light finger pressure. I had to make a new bridge.