AirMac is their actual names. Just because you don't know about something doesn't mean it doesn't exist.
As for iLamp, that was a fairly common name for that computer when it was popular. If you don't know it, you should turn in your nerd card.
The G4 iMac was discontinued in 2004 - over 15 years ago. I’m very much an Apple nerd but I haven’t heard it call that before today.
iVory, definitely: https://en.wikipedia.org/wiki/Symbolics#Ivory_and_Open_Gener...
iRack, of course: https://www.youtube.com/watch?v=rw2nkoGLhrE
iBrator, naturally: https://www.youtube.com/watch?v=EExgxtJjRS8
iSmell, unfortunately: https://en.wikipedia.org/wiki/ISmell
But iLamp? Nope.
Where can I turn in my nerd card?
https://support.apple.com/ja-jp/airmac
It does look like that’s the actual name in some markets - at least the AirMac.