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Assuming the same homes, which group do you think is larger:

A) Households who are currently renting who would prefer to own their home

B) Households who currently own who would prefer to be renting

I'm going to guess A >>> B, but I've never seen the data.

"prefer" is irrelevant. I prefer to be a billionaire and own an island. Question is of ability.

Your last point was that some people prefer to rent. I don't think it's irrelevant to compare that to the number of people who would prefer to own.