I've used the save and quit option when in combat when someone knocks on my door, once it was because an old lady had collapsed outside, most of the time it's double glazing salesmen, I have double glazing, they feel my wrath.
Ive never used it just because I was losing.
That is all.
Huh... so basically narcissism?
Rationality doesn't follow here:
Scenario 1:
Another player is engaged with you: [Check] Unchecked
Someone knocks on the door: [Check] Unchecked
Answering the door takes priority: [Check] Unchecked
Game takes priority: Check [Unchecked]
Spending 15 seconds logging out seems irrational since there can very much be an old lady collapsed outside that needs help. Not to mention logging out in such a fashion causes discontent from the player/players interacting with you in the game.
Conclusion: You wasted time trying to log out of the game, you caused discontent to other players.
Rational solution: Leave the computer immediately since the door is important, you'll answer the door promptly, and the player/players you interacted with doesn't watch a ship vanish out of thin-air.
Scenario 2:
Another player is engaged with you: [Check] Unchecked
Someone knocks on the door: [Check] Unchecked
Answering the door takes priority: Check [Unchecked]
Game takes priority: [Check] Unchecked
You should be high-waking out of the engagement and safely log out, since this way the player you interacted with knows that you used in-game mechanics to retreat from the engagement.
Conclusion: Both parties are content.
So I'm confused, which one is more important to you? The game or the door?
Your line of thought can only be explained by pure self-interest:
"I don't want to lose progress in the game, I don't want to get in trouble with FD by alt+f4, I want to answer the door since it might be important."
So what you're explaining to us is basically your pure self-interest takes precedence, I would prefer that you put it in a plain fashion.