Yes and no...unfortunately, the data does not reveal where the property comes from or what type it is. It could be inherited, it could be a used property in poor condition, but it could also be a newly built house with all the trimmings. Furthermore, based on income alone, no statement can be made about any existing assets. Someone with "only" 2000,- net may have saved for 20 years before acquiring property, and someone with less than 1000,- net/month could easily win the lottery/inherit and buy a property that their salary would never have been enough for.
Based on the data, I would suspect that it is usually incomes above 3200,- net that have the money for a single-family house (38% of owners have 3200,- and more, and 35% of owners own a single-family house, which fits well together). If you now subtract those who buy used properties (we do not have the exact number for this, of course!), it is already likely that builders these days actually have a net income of 4000,- euros and more. This is not least likely because with comparable expenses (living costs) and known loan conditions, a statement about the necessary income for a new construction project can certainly be made. In other words: a payment of 1000,- euros and more usually requires an income well above 3000,- euros.