What you are describing is a higher internal resistance inside the electrolytic capacitor that can be seen with age. This can cause the cap to operate hotter and eventually bulge and fail. I would carefully inspect the caps, looking for signs of bulging. Some caps have a small rubber covered port at one end that can bulge. Look for that. Any bulging, change the cap.
As these power supply caps age, the amp can loose headroom and have an earlier onset of distortion. Static as a cap discharges can be heard of you pull the plug and hit a low note. This is normal. The amp doing this while playing could be a sign of this early onset of distortion due to a bad cap.
As others have said, these symptoms could be due to issues unrelated to the caps. There are many possibilities. It could be as simple as a bad resistor for example. With the aid of test equipment, the problem can be identified and fixed.
It is important to note that a cap is not a cap. They are not all alike, specs are different. Low ESR is usually good. Working voltage is important. Long life is good. A high temperature rating is good. Even size is important. A higher performing cap may change the character of the amp. For example, some amps have a certain characteristic distortion. Upgrading the power supply to perform better can change that. Sometimes in a positive way, making it cleaner. Sometimes not though, leaving people thinking that the magic is gone.