For mechanization to reduce manual labor on Roman farms they would need to switch to monoculture crops of a type that were conducive to mechanization. It would take machines being extremely cheap to beat Roman slave labor where conquests of neighboring territories were constantly bringing in new slaves.
More pertinently, the "expensive" farm workers of the industrializing countries weren't expensive enough for farming to be mechanized until the 20th century. Second half of that before it had replaced manual forms of farming entirely. Farming itself never was the driver for industrialization, but a rather late profiteer of it. It follows that farm slaves couldn't have been the blocker for industrialization, at least not as directly as you assume.
I would submit that any Roman farmer or businessman relying on slave labor would be overjoyed to purchase any device that would cut the need for slaves in half. (Or even by 10-20%.)