Spent the weekend fully looking into that old boiler system before deciding what to do about it. I figured since we were adding a heat pump, it would be smart to at least understand the whole setup rather than just guessing. Turns out the internal components were in far worse shape than I initially thought.
The heat exchanger was heavily scaled and there was some serious internal corrosion which means running it as is would have been dangerous. It was clear that even if the pipes themselves were okay, the central unit needed a complete overhaul. Given the age of the house, I think it was the responsible choice to replace the entire boiler unit rather than trying to patch the existing components.
I got a quote from a local service company, and the replacement system is surprisingly clean and looks like it will integrate fine with the existing thermostat locations. Definitely caught it early before it turned into a massive expense or a major leak issue. This is one less thing to worry about every winter.