Sounds like an age old question for a slightly different piece of gear that many of us have been contemplating.
You might save a little money in electricity depending on how much power they draw in stand by.
Every time you turn on amps there should be a surge of electricity. Surges can cause wear and damage. Maybe the amps are designed to survive many surges over decades of use, or maybe not.
In stand-by there will still be circuits energized, monitoring the input signals to know when to turn on. How much heat is generated, how fast do the circuits degrade when energized, etc.
I don't have an answer, but the logical entity to ask is the company that designed your speakers. They would be in the best position to tell you what the speakers were designed for and how to operate them to minimize degradation.

