I don't even think you realize it, but you're moving the goal posts. I'm saying this:
We can't always get what we want, so sometimes we have to choose between two things that are both important to us. Choosing Thing A over Thing B doesn't in any way demonstrate an objective lack of interest in Thing B; it simply demonstrates which one was rated higher relative to the other.
But you are talking about something meaningfully different. You are comparing "how much they want the house" to some threshold of importance that you refer to as "that important".
To clarify the difference, we can convert this into simple math. I'm saying:
The statement of inequality A > B does not tell you anything about the magnitude of either A or B, save that A's magnitude is greater than A's magnitude.
You are trying to disprove my statement by saying:
B < T, where T has a value of "That Important"
I hope you can see how that doesn't have any bearing on what I'm saying.