I've never come across anybody saying "the option" but have heard people saying "stop go" in which case I say "land or touch and go at your discretion". At the school where I fly they always teach that no matter what the pilot in front has said they are doing, they are always doing a full stop landing and you should space yourself out accordingly. They also teach that if the runway is still occupied including any safeguarding areas when you reach 200ft on the approach then you should go around but of course that's another debate, not one to do with phraseology.