With the current ways the vehicles are programmed, this is not so. Running 87 in a high compression engine is going to bust pistons and rings eventually. We see it all the time on here.
87 octane is in no way better for a high compression engine than 93, unless you are comparing Direct Injection engines that are made to run on 87. They will see little, if any improvement with 93. In older, more traditional injected and carbureted engines, higher octane always benefits the engine over lower octane. The get better mileage, run smoother, cooler, etc.