But fixing rents just makes landlords like me want to exit the market completely
Exit the market completely...and do what? Not rent the home out at all? Well, for starters, that would mean you're leaving way more money on the table than you would be if you kept renting it out at a reasonable rate. But even besides that, the policy advertised here is in addition to Sriranganathan's pre-existing policy of increased rates on unoccupied homes.
And sell it? Well, the new owner is going to be one of: a first-time home-owner, a moving home-owner, or a different investor. In the first case, that's someone who is no longer renting, so the difference between the number of homes available and the number of renters remains the same. In the last case, that new investor is going to be renting it out, something the old owner was apparently unwilling to do. So it's completely neutral. If it's a moving home-owner, their old home is being bought by someone else, which takes us back to the top of this paragraph.
the same number of tenants are competing for a smaller and smaller number of rentals
This part is just completely wrong. It displays a severe lack of critical thinking on the part of the many people who are saying things like it. It's like they think that landlords are actually providing the service of providing housing. When really, the service provided by landlords is merely maintenance of existing housing.
Lower the interest rates again and rents will drop
Will they? I've never seen it happen. At best, lower interest rates might lower the rate at which they continue to rise. But as you already know (since you did watch the video before commenting on it...right?), many landlords are increasing rent at much higher than the rate that interest rates have risen, so that argument really doesn't hold much water.
For sure, the tack taken by the RBA is gross, and they need a new model that considers the effect on the actual people, rather than merely robotically applying economic theory from the 1980s. But there are a lot of problems with the economy which are being exposed at the moment, and trying to play these "but whatabout..." games when people are focusing on one area only serves to undermine progress.