But the economics don't work. A bronze steam engine would have been extremely expensive and it would have taken multiple attempts to work out the best alloy mix. Without refinement the result would have had a low power output and short working life.
Even if you have a blueprint, a bronze engine is still a major research project.
The economics don't work only when compared to the modern alternative. The economics of a grindstone attached to a waterwheel don't work today but they did historically. A steam engine with low power output could still have been extremely useful in the right context despite not being up to the more strenuous tasks of historical variants.