I think you could possibly make it work for you @Toddlergrumps especially if the location and external appearance/bones of the cottage are right!
We bought our Georgian cottage by the sea in 2024. It was last renovated in 1965 and the previous owner had lived there since 1970, doing virtually no updates since then. Unfortunately, the 60s makeover included removing all period features - lime plaster, doors, skirting, architraves, fireplaces, most of the windows (although replacements are timber, Georgian style) and majority of the floorboards. They'd also converted part of the cottage into an integral garage. Sacrilege.
We only bought it because a) the location was good and b) we missed out on a prettier, but internally challenging cottage with stubborn vendor around the corner.
Our plan was to sympathetically renovate and restore as many character features as possible on a tiny budget (30k). We were confident of achieving this it's our 8th period house restoration, DH is a conservation builder and we can do most jobs ourselves with me sourcing good quality stuff online.
We're half way through the project and have spent around 17k - including 3.5k for a Charnwood wood burner and £300 for some used oak in-frame cabinets around which we're building our kitchen - relocated to a former reception room, the only space with gorgeous original Georgian floorboards which we're leaving exposed. Gradually we've been replacing the internal doors with originals found at reclamation yards and eventually we'll replace the other joinery too.
We also added two late Georgian/early Victorian fire surrounds found on fleabay for £20 each - these look slightly more appropriate than the 1970s crazy paved fireplace we ripped out!
Unfortunately the walls are flat as a characterless pancake and I'm not planning to remove all the grey gypsum and replace with lime. But period paint colours (hello Edward Bulmer!) are making a massive difference, along with all our antique rugs, furniture, textiles and decorative bits we've collected over the years. Finally it's starting to look like a period cottage as opposed to a 1960s box 😁
So, it can be done - and on a budget - although obviously if we were having to pay trades it would be costing considerably more. I wouldn't dismiss the cottage out of hand OP, however annoying it is that the current owners have butchered the place - you just need to weigh up if the work involved to put things right is worth it and if you're prepared to wait to get it done....good luck whatever you decide!