Your comments

The core of the issue is that when labels aren’t displayed, and either there’s only one item in the group, or the group is combined, the “group icon” is used instead of the actual window icon. Currently 7+ Taskbar Tweaker doesn’t provide a way to customize this behavior.

You probably meant 102, not 104 in the title? Please see my reply here.

Closing since the issue is very old, no other users reported about it, and the investigation stopped. If the issue is still relevant and you have more information, or would like to try other things to try and understand what's going on, let me know and I'll reopen the issue.

Closing due to a lack of feedback.

I'm not familiar with the issue. I'll look at it when I have some spare time.

Sorry, but I don't speak Chinese, and I wasn't able to understand the text with Google Translate. Please clarify the issue/suggestion in English.

Unfortunately 7+ Taskbar Tweaker can't solve this currently. It's relevant to the following post, except that the other behavior is desired there (having the window icon, not the pinned icon):

https://tweaker.userecho.com/topics/294-never-combine-hide-label-vs-dont-combine-grouped-buttons-in-regard-to-taskbar-icons