This has nothing to do with THLP and its interest in iHeart. Pairing back stations that were non-critical to Univision's bottom line was an operation that was underway before THLP ever got involved.
Univision struck a deal to sell out of Albuquerque in 2008, but the Great Recession killed the deal. Centennial Broadcasting was to buy it for $24 million. I doubt AGM is paying anywhere near that, but Univision obviously found a deal that made enough sense for it. Remember, radio sales in Albuquerque is about 80% local direct, and that market had the most stations per capita 20 years ago. I'm pretty sure it still does, though Salt Lake City has seen some move-ins since then. Univision also sold its TV station (KLUZ) to Entravision a number of years ago. It may still own the Televisa affiliate there, but Entravision manages it as well. Univision had a smaller market cluster without a TV companion in a market that doesn't get much agency business and has a majority English-dominant Hispanic population.
The Chicago station in question is being sold because its simulcast partner is upgrading, and Univision doesn't need it anymore.
KKMR puts, at best, a weak signal into metro Phoenix and probably isn't needed anymore either.
El Paso was also sold recently, and it's another market that doesn't have a ton of agency buys with no Univision O&O on the TV side.
Don't be surprised if some of Univision's other smaller market stations go, especially where there's no O&O on the TV side. I expect to see the Rio Grande Valley get spun soon, too.