Let's say that "race" somehow got erased as a term and no one used it. Can't see why you think the analogous connotations won't be moved to ethnicity*, culture, nationality or even just a physical description of skin tone. Connotations aren't fixed to the term, which is another way of saying that they do not rise due to the term.
Another way to see it is by imagining a function which takes as input anything (x,y, z etc), put always has the same output. If the output was "racist view", it won't matter if you enter "race" or other, because the function isn't under control; only the input.
*they already exist, for all, by similarly inclined people.