You can also ask Astarion the same question about his past.
Yes, but it's one question not all of them and in my opinion even that one should go.
But in Shadow's case, I like her questions, and maybe as the adventure progresses or the relationship grows, her answers will change. I don't like that others don't have these questions.
There are questions that it makes sense to ask more than once, like "What is your priority right now? or "What do you think we should do next?" and hopefully the answer will change depending on where you are in the story, but asking the same batch of questions over and over again is a poor dialog choice imho. It's just not the right way to do it. As the relationship progresses, I don't want new answers to old questions, I want new dialog options.
In one of the my first playthroughs at one point when talking to SH I had half of the screen full of questions. Under normal circumstances that would be awesome, too bad I was looking at a list of things I had already asked. I honestly thought it was a bug. I'm just not going to keep asking the same questions hoping at one point the answer will change. It's immersion breaking for me. Of course now that I know how to unlock her conversations, I wait until she tells me who she worships and the approval is high enough before I start speaking to her at all.
I know Astarion can ask you this himself, but this cutscene is very easy to miss, and he asks it at an average level of approval, which is quite strange.
That cutscene should definitely change trigger, bug less and be tied to a certain approval rating. As it is, it feels really out of place because it triggers way too early. It would make much more sense if it triggered after defeating the Gyth patrol. Actually, it would make even more sense if it wasn't tied to Lae'zel's quest at all.