I thought I might give you a bit more info which you may find useful before you make a decision.
The plaster on my walls is made up of sand/cement. Most plasterers, I believe go for gypsum Hardwall on brick/stone as a base coat and then Multifinish as a final coat. It dries very quickly but the plaster would need to be fully dry possibly for a few months if applying lining paper and an acrylic paint. If no damp problems, cheaper option.
If you fancy going the traditional route, you may have to buy the products online. Usually Builder's Merchants only seem to sell Hydrated Lime which is normally used to mix with sand and cement to make it more workable I believe. I don't know much about Limelite. Online suppliers can give you some good advice and some are cheaper than others.
Maybe an easier way to apply the plaster would be to mix Natural Hydraulic Lime (NHL) with Plastering Sand as a Scratch coat and then as a Base coat. A 25 kg bag of NHL with a strength rated at 2 or 3.5 should cost you about a tenner each, to be be mixed with 2 to 3 parts of plastering sand. It would be like applying a sand/cement internal render, but lime is not as rock hard and would be breathable. NHL can be white or light grey. Non Hydraulic matured lime plaster is the real traditional stuff dating back as far as the Romans, but can be a bit more tricky to work with, though it is a little more soft and breathable then NHL, but takes a lot longer to dry. That's how I plastered most of my lounge and fireplace, with NHL and then applied non hydraulic matured ready mixed Finishing Lime Plaster. Once fully dry, natural breathable paint.
If a plastering amateur you will need a bit of practice, unless you have done it before.
Hope that helps.