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Cork really divides opinion but it ticks all the boxes for a bathroom. Warm to the touch and eco friendly. It's probably the easiest to fit too.
If you decided to have cork you could possibly just use a thin ply board on top of the current floorboards, screwed down at 200mm centres, fill and sand over the screw heads. You need to have pretty even floorboards to go that route and it might not work with vinyl tiles where they show any undulation in the subfloor.
Might be worth considering vinyl/cork/rubber flooring as an alternative to tiles. Amtico do some good vinyl tiles available with 'grout lines' to imitate tiles.
Dalsouple/Amtico/Marmoleum are decent brands in that arena.
https://www.amtico.com/flooring/products/collections/amtico-form/