I believe it depends on the particular beer used and what fragrance is added. There was a distinctive odor that I could only assign to the beer, although I don't think it smelled at all the same as the beer out of the bottle. But I have only used one brand of beer. Others have mentioned testing different stouts and so forth with an attempt to observe for scent carry-over. I am not sure what their results were over the course of a year or so. (I tend to cure all my soaps a good long time, so for me, a year or so is what I would look to in a long-lasting scent.)
As far as color, it depends on how you prepare the beer. Some people boil it down so the color is probably more concentrated. Some use it straight. Some use darker beers or ales, so they are probably darker soaps. I used a pale beer and also micas for coloring, and no TD, so cannot say if it could or would be white. But I believe that in my soap it could have been white if I had only used TD. Also what fragrance is used can also affect color.
As far as color, it depends on how you prepare the beer. Some people boil it down so the color is probably more concentrated. Some use it straight. Some use darker beers or ales, so they are probably darker soaps. I used a pale beer and also micas for coloring, and no TD, so cannot say if it could or would be white. But I believe that in my soap it could have been white if I had only used TD. Also what fragrance is used can also affect color.