By 1936, I wouldn't put it past Spain, the Netherlands, or Sweden to at least attempt to build battleships
I'd agree with Sweden, but post-SCW (and the SCW always fires - although if it's a quick 'done and dusted' war that manages to get the British technical advisers at SCEN Ferrol back quickly enough then it's an outside chance) Spain took seven years to build basic (and by the time they were finished in 1951, after being laid down in 9144, very much obsolete destroyers). Franco actually looked into the idea of building battleships (with Italian help), and it's something I don't have the full story on, but given how much trouble they had with destroyers, I imagine that it was seen as logistically beyond their capacity. Given this, I'd suggest Spain would need to have a much-better-than-historical run to have any chance, and even then (if we're looking for historical plausibility) it should take them a long time - I doubt they had the ordnance, armour or engine works required to build the components they needed.
As for the Netherlands, as far as I understand it (but I haven't read anything specifically on the Dutch navy of the period, so could well have missed something) the Project 1047 battlecruisers never proceeded past the planning stage, and were to have relied heavily on German industry for completion (and relied heavily on German expertise for design as well).
I'd argue Turkey's capacity at this stage to build a modern battleship in the 1930s was more-or-less non-existent. I'd be very interested in any information on that pre-dreadnought as well - I've read a bit about the stage immediately before the pre-dreadnought era (and the Turkish navy at the time was in a terrible state - much stronger on paper than it was in practice, with numerous ships in a state they couldn't put to sea) but very little between 1890 and WW1.
Of course, this is all in historically plausible land - I'm not suggesting in-game, particularly in vanilla, that minors couldn't build capital ships - HoI4 should be a fun game first and foremost, and not a naval construction simulator
- 3