I live in a 1930s detached house very similar in style to the stock image attached, and the roof likely needs replacing (we have a persistent leak in one of the "valleys", and a lot of missing/broken tiles all over). The thing I'm agonising over is whether we should keep the chimney stacks, or get them removed to just below roof height in the attic. To be clear, I am not contemplating removing any chimney breasts - just the stacks - so there wouldn't be any change to load-bearing structures.
On one hand, I like the cleanliness of the removal option, as it would reduce the need for future maintenance, and there would be no discontinuity in the roof tiling so it would eliminate some potential leak sites. On the other hand, I'm not sure if chimney stacks are in the category of original features that people think it's a big shame to remove. In general, I like to err on the side of making changes that are in keeping with the character of the house, and I would never change the lovely roofline of the house with, say, a dormer, so I don't know if I should be thinking about chimney removal in the same way.
FWIW, the only room where there is still a fireplace is the living room, and I never plan to use it as a fire (though I will keep the fireplace as a decorative feature).