I'm not sure what you are trying to say there...
It is not safe to leave your headphone plugged in to any amplifier as it's being turned on because during the process of power-up, the amp may send a DC signal through the amplification stage that may exceed the power handling capability of a headphone and cause bad things to happen. Read: you'll damage your headphone.
Same reason why some people reduce volume to 0 before plugging in a headphone, because if the gain is too high, the voltage being fed to the amplifier may well kill off the headphone.
Having no headphone plugged in would not do anything to well-designed amps where the amplification stage would just block the signal that's coming in.
I used to work up the street from the 'famed' Electric Lady Studios on
West 8th Street in NYC; I was a 'kid', it was my first job out of college.
I worked in high end home audio and professional audio and often had
occasion to be at EL. Sold them a lot of big McIntosh amps, and Revox
tape recorders, for example.
It was a pretty cool place at the time mostly because it drew a lot of cool
and knowledgeable people. (And the musicians, of course.)
One day, during an install, an Englishman with a
beard and beer in hand yelled loudly (to get my attention)
(Turned out he was a highly respected and well known
studio engineer in the UK)..
"Turn DOWWNN the volume."
I looked at him; he smiled briefly.
"
Always turn down the volume. Always, always.
When you're connecting or disconnecting any gear,
don't do it until --- you've turned DOWN the volume.
And if you're at all unsure, and you're digging around
in the wiring back there - turn DOWN the volume first."
Following that advice has not hurt me through the years.
And it just may have saved my hearing, large amounts
of money in damaged equipment, and otherwise.
I've made it a habit to turn down the volume first.
Cheers.
TL;dr: Turn DOWN the volume when you're messing
with your hi-fi gear