It seems to me that you're very focused on the end result of 'issue is solved' potentially without understanding and/or acknowledgement of the other person's efforts to solve the issue on their own.

Of course they should take the time to reciprocate when you're the one seeking resolution.

Listening to someone and allowing them time to vent to their own conclusion is to take part of their emotional journey. They may want your solutions eventually, but they want to have the human connection of going through that journey together so that way you have all the context for their feelings/stress.

People don't come to others for help and want to defend their previous actions. They just want to say that they're frustrated, this is what they did, this is what happened, and maybe that's all they want. Listening = validation of the human experience. Maybe after venting, they'll want some solutions.

Personally I have a hard time telling if someone wants a venting session or a solutions session. So I just straight up ask what they need and if they'll want to check in on the solutions after venting. This saves you the emotional labor required to try to help someone that doesn't want it and keeps the chance of frustration/unfulfillment low for both parties

Family though is a mixed bag. Unless both parties are operating under the same expectations, it'll lead to what you described. Understandable that you just don't get it since the fault is not on you