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Tl;dr: Consider unplugging them, they all consume some small amount of standby power and that adds up. Also they wear out.
Though: I've never noticed any of the 24/7 devices I own wear out, I think that might be a myth?
The capacitors have a limited lifetime.
Maybe but is that lifetime limited by on/off cycles or by wall time?
Electrolytic capacitors wear out due to age whether they are used or not. Heat makes them wear out significantly faster. If the power supply is not under load, it shouldn't be producing any noticeable amount of heat.
Tl;dr: Consider unplugging them, they all consume some small amount of standby power and that adds up. Also they wear out.
Though: I've never noticed any of the 24/7 devices I own wear out, I think that might be a myth?
The capacitors have a limited lifetime.
Maybe but is that lifetime limited by on/off cycles or by wall time?
Electrolytic capacitors wear out due to age whether they are used or not. Heat makes them wear out significantly faster. If the power supply is not under load, it shouldn't be producing any noticeable amount of heat.