It's slowly getting more and more complicated
I just took your example a bit further.
In assumption 1, the person has a loan of 400K€ at the time of construction with construction costs of 500K€, so 20% equity. In assumption 1, after 5 years, the person has around 350K€ remaining loan with construction costs of 500K€, so 30% equity. In assumption 2, the person has a loan of 390K€ at the time of construction with construction costs of 550K€, so 29% equity.
If you relate assumption 1 to the time of construction, then assumption 2 would be better 29%>20%. If the reference point is the age of the builder, then assumption 1 would be better 30%>29%.
Of course, the value development and the depreciation of the house should also be taken into account.