No - with batter interference, batter is out, runner returns to base. The rules discussion on air was a total mess. No one in softball knows the rules of their own sport, even the umpires. Just a total clusterfuck.
https://www.ncaapublications.com/p-4683-2024-and-2025-softball-rules-book.aspx
11.20.2 The batter shall not hinder the catcher or any other fielder from catching or throwing the ball by stepping out of the batter’s box, or intentionally hinder a player (for example, on a steal/pickoff throw or a play at home plate) while standing within the batter’s box.
EFFECT—Delayed dead ball is signaled. The defensive team shall choose either the result of the play or the batter is out and each base runner must return to the last base that, in the umpire’s judgment, was legally touched at the time of the interference. Exceptions: (1) If a base runner is advancing to home plate and there are fewer than two outs, the base runner, instead of the batter, is out. (2) If the catcher is not making a play on a base runner but the batter or umpire interferes with the catcher’s return throw to the pitcher and the base runner, consequently, advances safely, the umpire should suspend play and return each base runner to the base occupied at the time of the accidental interference.