You might want to try the new Krystal view:
https://crazko.github.io/krystal/This is not exactly a tabbed view, but one I find very appealing. It creates a horizontal river instead of a vertical one. That allows you to open multiple tiddlers side-by-side and maintain the scroll position on each. You can open several tiddlers this way and horizontally scroll across them. It's very similar to
https://notes.andymatuschak.org/About_these_notes, if you're familiar with his setup.
One other suggestion would be the Stories plugin by Saq:
https://giffmex.org/stroll/stroll.html#%24%3A%2Fplugins%2Fsq%2FStories. This is not a true tabbed view, and only allows two lanes. However, it does allow you to easily create two vertical streams with independent scrolling of one another. If I'm not using Krystal, I lean heavy on this plugin for usability.
Again, these aren't true tabbed views, but they may get at some of the functionality you mentioned.