I would discuss with your T how you would like to be asked such questions? How can she know you aren't just throwing out random facts of your life, "I hate this rain we've had all week," or, "I'm taking my dog to the vet this afternoon after I see you."?
I think it is more interesting that you want to be asked such questions, want the interaction of T "personally caring" to ask, than the subject of the questions themselves. If the subjects themselves (going to the doctor to get your heart checked) are important to you then tell her more. She may be more curious or even worried, but it's not her job to steer the conversation and her expressing how she feels (curiosity is an expression interest in a particular subject or a need to know more (if she's worried)) would be doing that. She can only follow our lead, not instigate it. When good T's "steer" it is from something we have said/expressed, not from their own curiosity or needs.
I think if you tell her you'd like to be asked about your opening/open-ended statements of facts about your life, you and she would probably get into a discussion of why
you felt that way and what the strength of your feeling said about you. Remember too, your T can't know what you are thinking/feeling unless you tell her.
I was in the ER all day once, 14 hours, on a day I was supposed to go to T and was desperately trying to get "done" before the appointment at 3:00 in the afternoon (arrived at the ER around 9:00 a.m.) so I could go see her but I finally realized I wasn't going to get out of there in time and, sadly, called to cancel my appointment. The next week, she brought up how I would have to pay for sessions in the future that I didn't cancel with 24 hours notice! Not the conversation I was expecting
But another person, even a T, can't know what we have experienced or are experiencing unless we tell them. I got my heart checked last month, echocardiogram, etc. but, because everything is normal, it wouldn't occur to me to even really remember that I'd mentioned it the week before? Everyone's circumstances are different and "why" you were getting your heart checked and what your experience was afterwards, etc. is about you and doesn't carry over to anyone else?