[swores]

To add to what you said, and make it a little easier to visualise why it's misleading:

If you have one person living on their own in a house they own, and four people renting bedrooms in a shared house, the home ownership rate is 50% despite only 20% (1 of the 5) of the people being home owners.

If the home owner then rents out one of their bedrooms to someone expanding the population between the two houses from 5 to 6, then home ownership rate is still 50% but now it's 16.6% (1 in 6) of people who own a home.