Would still have some issues with lock time. Gyroscopic stabilization system? Doable. Mechanical fire control computer? Doable. Electrical primer connected to the gyro system? Hmmmm... not really.
I suppose you could build a heavy enough gyro control system that would rely on activating a mechanical trigger, which in turn would detonate a primer. However, it would be useful only in local control. I don't think there's a way to make a long - and reliable - fire control line without electricity.
Would be useful, however, for the King Hahraald's main batteries.
Thoughts, anyone?
Hydraulics or pneumatics could provide the remote fire control and stay non-electric. With the new recoil systems on guns and all the other pneumatic and hydraulic systems the Delthak Works is gaining experience building, I think they could be close to having the tech base for pneumatic logic and controls. For that matter pneumatic controls alone could even suffice for a slow speed digital fire control system. American industry for years had depended upon Numitrol pneumatic logic for packaging equipment control in place of electrical relay logic. Numitrol pneumatics provides very reliable and very precise motion control and position placement as long as the air supply stays dry but is a royal bitch to trouble shoot. I'm long retired from that career but I understand the Numitrol logic has been mostly supplanted by PLC controllers in the past 20 years as the cost of and availability of microcontrollers has increased. I was lucky as I came into the trade when relay logic, mechanical motor starters and pneumatic controls and instrumentation was the norm and spent the last 10 years of my career programming PLC systems and writing MMI programs. So I was familiar with both generations of industrial controls.
On a side note, Numitrol built a pneumatic 8-bit digital computer that did simple match as a demo project at a trade show back in the very early 1970s. It could add and subtract. I think it had 512 byte memory, all mechanical slide pneumatic valve driven.