Not so feasible to really compare two crops with different usage and say which is better and that itself is subjected to personal opinions as well. Carrot are great for perception food crafts while beetroots is lacking in the craft field, has the advantage of having higher fodder yield (3 beet roots, 3 beet leaves) and having a fast growth rate that is somewhat close to carrots.
To ninja_yodeler. I assume you have enough carrot tiles for better redundancy chance of having a growth so it may be bad luck or something went wrong somewhere.