The purpose of the grease is to fill in tiny air pockets between the two surfaces. Less is more. When used sparingly the grease won't hurt anything. I doubt you would see a significant difference. Since there are several boards being built it would be possible to do some testing. Build a couple boards with grease and a couple without and check temperature rise. Some multimeters have inputs for thermocouples. The alternative is to get a thermal gun off ebay/amazon. They cost at least $20.
In recent years I've been taking temps on the outputs with amps under load. I run the amp at 1/3 power which makes for max temp on the outputs. By shooting the TO3 case with a gun I can confirm the screws are adequately tightened and the transistors are sharing the load. It probably comes as no surprise the ouptuts at the top of the heatsinks are a few degrees hotter than the bottom ones. The location of the heatsink on the chassis matters to, but it's a only a few degrees. I've had case temps over 100 degrees C. for a half hour or more and no failures. Makes you wonder how hot they are when they do fail.