[FEATURE] All interactive prompts disappear from terminal after responding — no way to review the conversation

When Claude Code displays any interactive prompt — permission requests, clarifying questions (AskUserQuestion), plan approvals, confirmation dialogs — the prompt is cleared from the terminal display after the user responds. This makes it impossible to scroll back and see:

• What questions Claude asked
• What options were presented
• What the user chose or typed in response

The conversation becomes a one-sided transcript: you can see Claude's output and actions, but the interactive back-and-forth that shaped those decisions is gone.

Current behavior:
Interactive prompt appears → user responds → prompt is erased from the terminal UI. Only Claude's subsequent output remains visible.

Expected behavior:
All prompts and the user's responses should remain visible in the scrollback as part of the conversation history, just like Claude's regular text output.

Affected prompt types:

• Tool permission requests (Edit, Bash, Write, etc.)
• AskUserQuestion clarifying questions with option chips
• Plan mode approval prompts
• Any other interactive dialog

Suggested solutions (any of these would help):

1. Default: Keep all prompts in scrollback instead of erasing them
2. Flag: --keep-prompts or --no-clear-prompts to opt in
3. Setting: "keepPrompts": true in settings.json
4. At minimum: A session log that records all prompts and user responses with timestamps

Why it matters:

Auditability and context. In longer sessions, I often need to scroll back to understand why Claude took a certain direction — which depends on what it asked me and how I answered. Right now that context is erased, leaving gaps in the visible conversation history.