For tube electronics, I completely agree. Tubes must rest. On/off cycle of tubes is relatively easy and lasts 5...10min.
The advice of seller is RIGHT ON and should be followed.
Tubes run hot and dry out capacitors.
Turn off tube electronics if you don't plan to listen to it for more than couple of hours
Turn off tube electronics before you go to bed and before living dwelling!!
This will assure longer life of your equipment.