I’ve found with many clients that is the case, but for others, it actually steels the mind and forces them to think about aspects of their business, they perhaps hadn’t given much thought to previously, and spending the time writing down answers can help them with direction. Some of the questions the OP used, I would want that information from. However, I wouldn’t necessarily phrase them the same way. Direct, staccato questions can be confrontational. As you say, you need to get the client in a comfortable frame of mind, so they can wax lyrical about their baby.
Sometimes questions are a pre-cursor to a phone / Zoom / face-to-face meeting. Sometimes the client ends up writing a tome and you get most of the info you need, then any meeting (in whatever form) becomes a simple relationship-building / trust exercise for both parties.
I think it is too complex a subject to reduce it to, ‘Do, A, B and C to find D’. Ultimately you are dealing with the complexities of human nature and you have to judge the approach on a client-by-client basis. In many cases, if I do send any written questions (and that is definitely not always the case) it will come after an initial meeting to judge the client’s approach and personality.
At the end of the day, I don’t think there is ever a one-size-fits-all approach. Takes time and experience – like anything really.