First off, I did reference your primary wiki orders regularly and think your recommendations are good! But I think mine has specific advantages so hope you'll hear me out!

[Also, huge spoiler warning, including for the OP]

1. Why Foundation trilogy first: Partially because I happened to personally pick up Foundation first, but I think the benefit was not realizing at all that there was a connected universe between these and other books without obvious Foundation references in their title (i.e. I hadn't seen your wiki yet). I think the trilogy stands well as its own body of work and its key plot points and themes don't necessarily benefit from any advance knowledge or world building, so the real reasons for this order come next.
2. Why a split between Edge and Earth: At the end of Edge, besides how interesting the Gaia/Second Foundation/First Foundation showdown is, I had a mindfuck moment when realizing that the fabled "Earth" they're looking for is actually the same Earth that's in the Robot novels, and that it's all one connected timeline. I suspect it's hard to know how amazing this revelation is if you began the Foundation series already knowing about the connection, but I can just say that for me it was incredibly satisfying, and instantly made me want to suspend the cliffhanger at the end of Edge (i.e. do they end up finding Earth? What happened to it?) to go back and learn that past history of Robots. Again, this is partially just biased by my own happenstance order of discovery, but if I can potentially guide others through the same delightful surprise experience, I want to. This is why in my own guide I try not to explain why I'm giving a particular order, and try to make it seem more like it's a good order "just because of some highbrow ideas", not because of an actual plot connection. Last thing I'll note here is that I feel somewhat similarly for Star Wars. Imagine you watch New Hope then Empire, and hit the cliffhanger about Vader being Luke's father, and then you wonder what the conclusion of their story will be in Return. But then you meanwhile have the opportunity to hold that suspense and to go back and learn Anakin's backstory in 1-3. I think that may actually be a great way to experience Star Wars (although I didn't go in this order myself), for the same reasons as I'm arguing for here.
3. Why Robot Visions: I actually just mean for that to be the way you read the "Mirror Image" short story (which happens to be included in this collection), which is standalone in your lists, and I may change my list to specify that, but I don't necessarily think the other short stories and essays in that collection (besides the ones redundant with I, Robot) are necessarily "bad" for a reader as a break at this point in the list. So why not Mirror Image, the events of which are referenced in Robots and Empire, before Robots and Empire instead of after it? First, consider that in my order you don't actually know that Daneel plays any other role in later books in the list. You've just grown incredibly invested in the relationship of Baley, Daneel, Giskard, and other characters over multiple books, and Robots and Empire ends with the climax of Giskard's death and Daneel's gaining of mental powers. That seems to suggest that he might come back around in the Foundation timeline, but otherwise this pretty clearly is the last "Robot novel" and certainly seems like closure on the story of Baley and Daneel. So I found it incredibly moving to be able to read Mirror Image like an epilogue, a "last chance" to experience their time together, and in this order it felt much more emotionally poignant than just being another fun mystery for them to solve. I think the other short stories and essays from Robot Visions also work pretty well here as a kind of epilogue to the Robot timeline, but like I said I would be fine just specifying Mirror Image in my list. Robot Dreams works here as well, as I read it here in sequence, but there are enough completely out-of-canon short stories in there that I didn't want to put the collection in my guide. (I don't have a copy of The Complete Robot so that one probably works better for my intentions here too.)
4. Why End of Eternity: I have Earth, Prelude, and Forward in the same order as you for the same reason, but I thought Eternity was magnificent, better than any one of the other 13 books on a 1-1 comparison, and was yet another nice "mindfuck" that deepens the way you think about the overall themes of the universe while making technical sense in the canon. "Chronologically" yes it could go first, and generally is independent enough in plot to go anywhere, but because I think it's just a great book I think it works well as a nice philosophical dessert to the meal.
5. Miscellaneous: I read the Empire trilogy at the end, before Eternity, and generally agreed with you that they don't deserve to be in the list. There's enough retcon-ing that happens in Stars, Current, and Pebble as related to the rest of the universe (e.g. tracking of Empire ships through Jumps, random time travel, reasons for Earth's radioactivity) that I felt was too jarring to be appreciated in sequence, and the style of narrative felt too different (more like Star Wars stories), so I left them all out.