Revert "Unify reasoning request effect on parsing"

This reverts commit ca7d2aeec3.

public/scripts/reasoning.js

@@ -54,6 +54,8 @@ export function extractReasoningFromData(data) {
             break;
 
         case 'openai':
+            if (!oai_settings.show_thoughts) break;
+
             switch (oai_settings.chat_completion_source) {
                 case chat_completion_sources.DEEPSEEK:
                     return data?.choices?.[0]?.message?.reasoning_content ?? '';