My T once said that he keeps pressing people when they say that they do not know because lots of people in the beginning won't open up. As in they bring up the topic, say "my boyfriend and I had an argument", but then when he asks about what, they say "no idea" even though they exactly know what it was about. They kind of try to avoid the topic right after bringing it up.

However, without first knowing the person for a while, and believing that they have some trust in the therapist, I don't think a T should ever do that.

I find that I felt much better in sessions with psychologists/psychiatrists than my country's version of counselors, but that might be different where you are from.