Hi,
You’re right that apps can have different names on the App Store and under the icons on the Home Screen. However, the app name displayed under a widget is the same name as the app shows under its app icon. Clear Spaces removes the name under the widget by using a blank space character as the name under the app icon.
I understand the appeal of having a “blank” name under widgets, but I’m not currently willing to show a blank name under the app icon.