Setting aside emotion and simply doing the math is certainly worthy of praise in of itself. But I feel this anecdote would be better served after you have gone through with the purchase, lived in the house for a period of time and been able to say unequivocally: "I am really happy that we live in this house."
The pending uncertainty over the actual outcome casts a pretty big shadow over "yay we did rationality!"
I prefer to avoid outcome bias, and focus on optimizing good decision-making processes :-)
My wife and I have been going to Ohio Rationality Dojo for a few months now, started by Raelifin, who has substantial expertise in probabilistic thinking and Bayesian reasoning, and I wanted to share about how the dojo helped us make a rational decision about house shopping. We were comparing two houses. We had an intuitive favorite house (170 on the image) but decided to compare it to our second favorite (450) by actually shutting up and multiplying, based on exercises we did as part of the dojo.
What we did was compare mathematically each part of the house by comparing the value of that part of the house multiplied by the use of that part of the house, and had separate values for the two of us (A for my wife, Agnes Vishnevkin, and G for me, Gleb Tsipursky, on the image). By comparing it mathematically, 450 came out way ahead. Hard to update our beliefs, but we did it, and are now orienting toward that one as our primary choice. Rationality for the win!
Here is the image of our back-of-the-napkin calculations.