This is the decades-old question of whether, at any given point in a market's upswing, is it better to rent vs buying in Austin. We often hear potential Austin home buyers saying things like "The Austin real estate market looks like it may peak and I'm wondering if I should wait until prices go down before I buy Austin tx real estate". Well, it's hard to time any market and, from the studies we've seen, why would you want to try?
As long as interest rates stay anywhere near the level they are at now, it will likely be better for consumers to rent a home in Austin vs buying a home in Austin. See this article from CNC where they state that in every one of the 100 biggest metro market's, buying a home was found to be the more affordable path over renting, providing you find a home you can afford and plan on staying in the home long enough.
The kicker here is that you actually plan on staying in that home long enough. I always advise my clients when they are searching MLS for homes, that they actually plan on staying in that home for at least 3 years, and even that is cutting it close. The fact of the matter is that we will have a recession at some point. It may not be next year but it will happen. And that's why we advise on 5 years to be a safer bet for appreciation and being able to sell your home with enough equity to move up in house when you buy the next one.
Here's a great tool from Zillow that lets you see the rent vs buy calculations and how long you'll need to stay at a given property you purchased in order to break even as opposed to renting.