An irrational fear of a question is their problem. What a strange world you must live in where answering a basic question is so concerning.
Two things:
1) no, it’s our problem. Remember, the ONLY purpose of the census is to get as accurate a count as possible. If people respond to questions irrationally it’s the job of the census to figure out how to mitigate that.
2) from my previous links it’s clearly not an irrational fear as census information has been used to target groups in the past.
Why are people so invested in clinging to this question? It was removed for a reason.