Over the years I have had to repair a LOT of lid screw holes where the hinge screws were ripped out by poor movers. The best method I found is a tapered hardwood plug kit, picture attached. Unfortunately the handle doesn't have the company name, and after much searching I can't find it online! It came with a tapered bit to use in a drill, or this hand tool with storage handle. Procedure is to glue and clamp any splits in the rim, then when hard ream the screw holes with the tapered bit. Apply a little wood glue to the plug (it is not a dowel!) put it in the hole and spin it to spread the glue around, then give it a light tap with the back of the tool to set it tightly into the hole.
When dry, cut the remaining plug off, sand smooth, and re-drill for the new screws. I have used this on multiple Kawai EX pianos with very heavy lids used for concert loan, and have never had one fail again.
Now, if only I could find out if anyone is still making this!! If anyone knows the company name, please post it.
Don Mannino RPT