One issue would be whether direct turbo-mechanical drive for 18th- and 19th-century steamships is practical. The aforementioned issues with copper price would be one possible constraint on turbo-electric drives. Turbo-mechanical drives require rather precise gears.Heck, not just displacing them sooner, but reciprocating engines would be very niche, relatively speaking. They'd still have their uses, of course, but I have to think that turbines - perhaps rudimentary at first -would be the primary way of turning steam into useful power from almost the beginning. As it was, it seems that Watt himself did work on steam turbines, so perhaps in this alternate history, he is not refining a reciprocating engine, but a primitive turbine.
Reciprocating engines might compensate for their higher maintenance cost through being easier to build, perhaps, and so still see widespread transportation use.
OTOH, a radical increase in demand for copper might make some of the Andean copper mining sites economical to exploit sooner, and so reduce prices.