Pushing a trailer doesn't really work. You'd need an apparatus big enough to hold magnets and FOD, and allow you to steer unobstructed. A purpose built vehicle with a cab-over design would be easier to control.
That said, those are a lot higher off the ground; the video shows the sweepers are only an inch or so over the ground. If something catches, it's more likely to just make the cart buck instead of sending the driver.
Source: am Dutch, rode into a rock once, that was pretty bad.