Ovinomancer
No flips for you!
If you are reduced to making such absurd arguments, you've lost.
The simple fact is that when you make a ruling, you have changed the rules. That rule now has different language that includes your ruling for all future similar instances at your house, making it a different rule than the one used at my house. Engage in fallacies all you like. You still won't change that fact.
I'm illustrating that the absurdity lies in your argument about houserules.
The referee in sports is supposed to make calls within the rules. Doing so doesn't change or add to the rules. It's not a houserule for a ref to call a foul or not call a foul. Another, older term for DM is referee -- ie, the DM makes calls in game within the rules of the game. Those aren't houserules either. You defining houserule as any rules adjudication or change literally means that you cannot play the game within the rules, as doing so means you're houseruling.
So, 1) you've changed the accepted definition of houserule, which usually means an intentional change to the rules, not an adjudication within the rules; and 2) you've ensured that any debate on rules with you is only answerable by referring to your definition of houserules, which, as defined by you, means that there cannot be a shared experience across multiple groups. Your argument is the absurdity, here, not my pointing it out.