I, too, chortled at that one.
If I might rebut on this, there's a number of efforts going on simultaneously all working towards this goal. I'd also suggest there's a majority on the council currently that are very pro-affordability, at least conceptually, and not in a "let's campaign on this and then overly serve NIMBY neighborhood groups."
Bear in mind that the r/Austin crowd will accept nothing less than home values going down substantially (which would be potentially catastrophic for a number of reasons), the next best option is to have a mix of housing, including at prices affordable to the average family and/or rents that are affordable to those unable to afford a home. At least for Austin proper, the reduction in minimum lot sizes and the parking lot minimum requirements are both steps towards that goal, and currently the council (and mayor) is enjoying the credit they probably don't fully deserve for rent stabilization due to the enormous amount of multi-family rental units that have come on the market over the last couple of years.
Council is also the process of reviewing future land use maps, a ton of other acronyms in regards to land use, and attempting to use Cap Metro property for the purpose of making available more central affordable housing (affordable is such a fuzzy word I'm not sure it's helpful to keep using it). Some of the most ardent opponents, btw, aren't silver haired, property rich District 9 homeowners, but working class renters concerned that their 25 unit apartment complex will be torn down for market rate apartments. In other words, it's all a little messier than "let's just create the right conditions for building more density."
I'm not suggesting anyone start hanging a "Mission Accomplished" banner, but if you value these efforts I'm sure you'll find a friendly ear by reaching out to your CM and their staff.