Steering rack and steering play

Toyota thinks I should replace my whole steering rack I think it’s a cash grab because to me it seems like the rack bushings are blown out. Toyota also just replaces the whole thing if something is wrong instead of just the small broken piece. It feels like the rack is being pushed sided to side going over terrain because it’s not snug and locked in place. Which is why the steering wheel reacts the same way. The steering turns fine/ is smooth and I don’t suspect any play. It’s just going over anything that’s not smooth pavement that causes play in the steering wheel. Here is a video of what it looks like https://youtube.com/shorts/4ZXlBYPPpKM?si=Yx9ynuuIvD7YIuyc

I’m so close to solving this mystery I keep coming here because mechanics don’t know what’s wrong and I’m not spending $2000 to get a new rack on a car with 115000 miles