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Depends what you want to achieve. If it's to have a uniform surface in the colour of whatever paint you use, I say knock yourself out. Another option would be to have a look at FB marketplace for someone getting rid of extra tiles and chuck those down on top. My heart from a few posts ago was bargain basement. The most expensive thing was the oak trim, and mainly because I bought the wrong stuff and had to buy it twice.
this tile hearth is letting the side down in our dining room but it's too much faff to remove and we already had new carpet in so demo work is out. the tiles as you can see are pretty heavily soiled and the grooves in the tile pattern annoy me greatly for some reason there's also a couple of small cracked pieces on the edge tiles.
with a budget of zero pounds and what i have at my disposal in the shed how terrible an idea would it be if i were to cut and paint a sheet of plywood to size and lay it on top of the tile held in place with a a few dots of a weak grab adhesive around the edges to stop it sliding around
edit: picture is from before room was decorated. walls are finished now.