Retain user settings (Search, Thinking Effort) across model switches

The Problem:
Currently, switching to a different model resets all user settings, such as "Thinking Effort" and "Search." Because most models share similar capabilities, these settings should persist. While I understand that certain settings (like thinking effort) can't carry over to non-thinking models, universal settings like Search should not reset.

The Impact:

• Wasted Usage/Quota: I often switch models and ask a question quickly, only to realize the search setting was turned off. This forces me to re-ask the question, burning through my usage limits.

• Mobile Friction: This is especially frustrating on the mobile view, where the search setting isn't immediately visible and requires extra clicks into a secondary menu to verify.

Proposed Solution:
Please make user preferences persistent across model changes. If my default preference is "Search x2" and "Medium Thinking," those should stay active whenever I switch to a compatible model.