I personally haven't had an issue with the tile map and RWS, but it depends on what your ultimate end-goal is. I use metres for both my system and display units. If I may a Tile map set to 0.15x0.15m with a 0.005m gap, and then plug a coronabitmap into the tile slot, the texture fills the entire tile. The Cbit is set to RWS as well but defaults to 1x1m (which is the same as 1.0x1.0 if RWS was disabled).
In the tile map, I also set the Tile Mapping to Per Tile and Text. Placement to Crop (defaults I think). If I set the tile to 0.15x0.3 and then deviate the Cbitmap to 0.15x0.15, then yes, we get the dense repetition. But if your tile is driving your texture size, why set it in the Cbitmap as well? If you set the Tile mapping to original, then you will have the UV mapping of the bitmap within the tiles, as if the coronatilemap was a black and white mask multiplied on your texture (black being grout, white being tile).
If you could elaborate why you need both the tile to match the coronabitmap, I may be able to help further. But leave the bitmap as 1x1 and you should be golden.