You definitely don't need to have "all the abstractions" ready in your mind. All you should be doing in scrum is summarizing the current status and what you nee

You definitely don't need to have "all the abstractions" ready in your mind. All you should be doing in scrum is summarizing the current status and what you need from the team. Standup isn't for solving your issue, or even describing it in detail. If the process is being abused, stop abusing it and let your teammates know when they're drilling down too much. If your standups are bad, it's because you and your peers are letting them be bad.