It should absolutely be banned. Offense already has too much advantage.
You can't stop the tush push. The offense will always win the initial surge because they know the snap count. The reason defenses could stop a QB sneak is because the defense is able to have Lbs stack and do a reverse tush push to push the line which made it possible to lose the initial surge put push it back with extra bodies. That was how defense could stop a sneak. But if you allow the offense to also push then that defensive advantage is negated.
Years ago they put the Mel Blount rule in effect. Prior to that, DBs could pretty much tackle WRs at will with no calls. The league realized it was too much advantage defense so they banned it and modern passing games with timing routes changed the game,
Imagine if every team puts in the work like the Eagles so now every single game you watch from NFL to pee wee has offenses doing tush push on 3rd and 2 (maybe 3) and then converting for the 1st down or TD nearly 95% of the time. You don't even need a QB like Hurts. Just have a TE or RB take the snap. No more clever plays, no more drama, just 1 or 2 tush pushes and a conversion. Is that good for the game?
3rd and 4th and short are the money downs and now they'll be about as exciting as extra points. Note that they moved back the extra point because it was too automatic.
If tush push spreads and becomes the norm, it will change the game in a bad way.