There are statistical techniques for blinding the answer to embarassing survey questions. Here's the simplest example:

Let's say your research is funded by the psychology department, and aims to uncover deep truths about the human mind... however it must compete with hunger and tiktok, so you have a budget and compensate your participants. The first problem is a simple one: is your participant motivated by the compensation, or purely altruistic and simply responding to your survey out of the will to improve everybody's understanding of the human mind? It is arguably the least embarassing question, use your imagination for the racier ones psychologists might ask...

The method goes like this. You give the participant a fair coin, and allow them to flip it enough trials to convince themselves of its fairness. You then tell them to flip the coin twice, and answer the following compound question:

Each individual respondent now has one bit of entropy blinding your knowledge of their motivation, however the actual possibilites are a predictable normal distribution when you have a statistically significant number of respondents, and knowing the distribution of lots of coin flips, you can even calculate the confidence bounds that you obtained from a given pool of respondents.