@QueenCamilla - yes, it's much cheaper than hiring a plasterer, and that's why I started in on it! I just found it impossible to find anyone willing to do lime plaster, anyway. If I'd had a huge budget and several rooms to do at once, maybe - but no one wanted to come and do small bits.
You can absolutely sand lime. Depending what type you use (and that website I linked gives a good run-down), it can take a while to cure. But you can sand at each stage of layering it up (if that's what you choose to do), and it's very forgiving. The uneven finish I mention is more a sort of gentle bulge-and-wave effect - I couldn't get a ruler-straight finish on the wall, and to be honest, I wasn't too keen to push for it, because the older lime plaster isn't straight either, so there seemed no need. But of course if you have beautiful straight walls otherwise, a bit of amateur lime plastering might stand out a little.
I hope you're right that a damp problem was solved before the plastering was put in - but, TBH, I doubt it. We do have damp issues elsewhere (there is a tree growing through the wall, and a lot of inappropriate render, and an issue with drainage where the ground has shifted to push water back against part of the house. I am actually hoping those issues are what's causing this, even though they are at the other end of the outside wall in question, because I think I know how to solve them. Taking up the concrete floor would be scary! But, as you say, it's my responsibility now.
My (sensible) DP is reluctant to let me take off plaster this winter, in case everything goes pear-shaped. I think I will have enough to do before that, anyway. But who knows?!
Your stairs sound beautiful! Good luck tomorrow. You must post and let us know how it turns out! Thank you so much for all of the advice and help - especially about the dry rot.