For Tier 1 wonders (Stonehenge/Pyramid) its all about the hammers.
For Tier 2 wonders (Maus and ToA) I think science is most important.
Past that, I think culture is far more important than science for most wonders. I am much more often limited on policies than I am on getting the needed tech. There are exceptions (Roman Forum is more tech limited for example), but most wonders I think its culture that's the bottleneck.
This is mostly my experience as well. You pretty much have to beeline for Stonehenge/Pyramids (of course) as well as ToA/Maus. For Hanging Gardens/Roman Forum I can detour for Pottery first and still get them so they aren't gated by techs (if I skipped Pottery and went straight for them I would end up waiting some number of turns for the policy requirement). Every wonder from then on I've gotten without a 100% beeline and if I did beeline them 100% there's a decent chance I'd end up waiting on the next policy anyway. This usually gets more apparent by the time you get to wonders like Pisa and Porcelain- I can often unlock those techs but still be 2 policies away from being able to build them depending on the game. At that point it's culture that's gating me.
If we are talking Ethiopia, then both Stalker0 and CrazyG are right. Ethiopia is great for Progress tree, with her two buildings in one and her almost guaranteed religion.
Also, free techs every now and then from her Unique Ability are converted into culture from Progress scaler.
Probably not optimal, but I've been playing tall progress Ethiopia for a while. Ethiopia strong start makes up for tall Progress slow start, as long as I have peaceful neighbours. Then Artistry, and I get ready to encroach. Mehal Sefari is such a good defender. As I said, probably not doable in highest difficulties.
I'd agree that Ethiopia is best played Progress since it leans into their natural early strength of a strong spammable UB and free techs to jumpstart Progress. Can certainly go Tradition though, of course.
I disagree. If culture is the barrier playing tradition you are doing something wrong.
Didn't you just say in a previous post that you highly prioritize science buildings and put culture buildings fairly low on your list? Given that you prioritize science so much how are you getting enough culture for wonder policy requirements starting around the Renaissance?