CPU Profiler Fetching CPU sample forever

The CPU Profiler appears to work correctly in Debug mode, where CPU sample data is loaded almost immediately after recording. However, in Profile mode, the profiler seems to get stuck indefinitely in the "Fetching CPU samples" state.

Steps to Reproduce in my case
Launch the app in Profile mode.
Open DevTools > CPU Profiler.
Start recording.
Perform a simple action in the app.
Stop recording after a very short duration (e.g. 0.5 seconds).

https://github.com/user-attachments/assets/71c86455-0f30-460f-8e1a-fb33040217da
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**DevTools version**: 2.54.2
**Connected Device**:
CPU / OS: arm64 (64 bit) android
Connected app type: Flutter native (profile build)
Dart Version: 3.11.5
Flutter Version: 3.41.9 / stable
Framework / Engine: 00b0c91f06 / 42d3d75a56

首先，在 Flutter profile build 中通过 DevTools > CPU Profiler 复现该问题，然后跟踪 CPU sample 获取入口，以确定请求为何始终无法完成。当一段简短的 profile 记录离开 "Fetching CPU samples" 状态并显示 CPU sample 数据，且表现与现有的 Debug-mode 行为一致时，即表示完成。

由索引模型根据 Issue 内容生成。