And the electrolyte can and will start to leak and foul the ICs around them, if not by ruining the traces/pads, then they can also foul the legs and/or find their way into the chip package itself, so the ICs will fail as a secondary issue.
So better to turn it on sometimes, without power cycling so much, to keep the electrolyte fluids wet, to extend the equipment life. Let it rot and dry and it will.
Electrolytics which have not had voltage applied in a long time (decades) may need gradual reforming, but if they aren't hermetically sealed they will dry out no matter what --- and heat will accelerate that process.
And the electrolyte can and will start to leak and foul the ICs around them, if not by ruining the traces/pads, then they can also foul the legs and/or find their way into the chip package itself, so the ICs will fail as a secondary issue.