Re: Note printers and punch cards were viable by the 1850s
"My father worked with some fluidic computers, albeit typically analog ones."
It's a term with several meanings. Some analog, some digital (in fact most are analog IIRC). There was a (brief) period where TTL logic gates (or more likely custom ASICs for hard wired logic) were just too expensive and fluidics were (in principal) a viable option.
"You'd really want to run any steam-punk fluidics with oil or air, rather than actual steam."
Absolutely correct. That said I have seen some designs for steam plant (Like the kind that powers warships) control elements which were fluidic controls. Also gas turbines, but more likely using oil.