edit: Uploading the middle section I missed...
There's a difference between a tech not showing everything required, and showing you need something not required. When Pottery appears after Wheel, it is the first case (and the icon hints that there is more information). When Warfare leaves off HBR but draws from Bronze Working, it is the second case and when the F6 screen is used it will lead to mistaken decisions. Put another way, trying to tech to Pottery and finding you need more is a better situation than teching to Warfare through Stone Working when in fact the HBR path was available (especially if you have horses and started on Hunting). Just how good it is can depend on how readily the links allow you to fill in what you missed, but there is a difference between these two types.
With this calculus, in the abstract it is an improvement to move Sculpture from just showing Masonry, to having a line override from Mythology, since this case can let you find what you need later. (For Warfare, contextual considerations allow us to discount HBR for being a "niche, uncommon" path to it.)
Don't worry about renaissance. All I'm doing is moving Algebra (, Perspective, Free Artistry) to the bottom, which is a dead end, and this links Algebra to Astronomy explicitly, and then moving Divine Right up top. Education is the end to my meddling; it's just housekeeping.
Every time I "finish" working on the start of the tree, another thought occurs to me. I think I've exhausted every possible "upside" by now, though. Pottery is foregone, as I said; the tradeoffs are now with Stargazing -> Priesthood, Warfare, and Trade. I'm just gonna try one more time to get Trade to show everything.
UPDATE: Nope. Sailing can't come down to meet Trade without blocking Warfare from getting -any- line, whether from BW or even just Archery. So, that leaves scoring.
The best one is at the top of post #724. It fixes the same background stuff, plus makes Warfare correct and Sculpture correct, while keeping two of three of Herbalism, Slavery, Husbrandry explicit (as is current and theoretically maximum). In other words, compared to everything else I came up with, it has a net score of 2 vs. what amounts to 0.
But that's not all! The baseline for all my attempts fix Scriptures, and migrate Metal Casting to where my medieval changes are compatible, which has a concrete bonus of connecting Meditation. So the overall gain from the current configuration I would score as 3.
*Now* I'm going to take screenshots. Soon as I look up the button for it...
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Here are screenshots. Some tweaking is obvious (e.g. Drama could move up 1), but observe the concept:


If desirable, please analyze in detail and I will be able to upload the TechInfos.xml which generates this F6.
edit: I erased Currency! Nevermind, I'm still tinkering.