Earlier quoted context omitted.
You're assuming that there can only be one cause of real estate price increases. Housing prices are a function of income elasticity - raising the income for everyone will raise housing prices for everyone. Note - this is not the only way that real estate prices can increase (as you described urbanization), but it is one that BI would cause.
>raising the income for everyone will raise housing prices for everyone This is a truism but incorrect in the context of this conversation. UBI does not increase incomes for everyone. It is a wealth redistribution. Many will see their income fall, especially initially, in order to prop up the incomes of the poor and those who decide to live solely off UBI.
What you're thinking about is a negative income tax or some other BI that is disproportionately weighted.