There's plenty of evidence to show that people who genuinely believe that they don't discriminate on the grounds of race (or age or gender, etc) can still do so subconsciously, so it makes sense to remove indicators of race (or age or gender, etc) from application forms [except, of course, when those factors are directly relevant to the applications].
As an example, I used to teach an extremely able 'A' level student (with an exceptionally mature and pleasant personality) who found that his applications for university places were all meeting with rejection. He wondered if it might be because his name (Fraz Taj) indicated his racial background. So he changed his name by deed poll to David Christopher Parkinson and re-applied to the same universities. Every one of them then offered him a place (including Oxford, which he accepted).