Not necessarily. Perhaps not as connected as the modern world, but the OP world literally has projectors, Den Den mushis etc. The entire world was listening to Vegapunks speech. Before that, the entire world was hearing about the Marineford war, and in sabody people watched it. Btw, why did no one get confused that logias were being harmed in the Marineford war, and shanks stopped Akainu?
It's almost like characters in pre TS didn't know about Haki, because no one, including Oda knew about Armament Haki at that point, and now that Oda added it as a thing to the story, pretty much everyone knows about it, most likely even people in the east blue, who can read newspaper articles about Sabo(fire logia) fighting admirals, and not get shocked
Is Golden cake related to the global stability of our entire world, and infamous dangerous criminals who go around terrorizing the entire world? Is it a superhuman ability that shakes entire islands, and has been used to slaughter, thousands, if not maybe millions around the world. Btw, the OP world has never been stated to be bigger then our planet, this is head canon.
Retard, why is Blackbeard bragging about his fruit being able to harm Logias, something everyone can do in the new world?
Why the fuck is Blackbeard saying Logias think they're invincible, when he knows Ace would know he isn't since Ace fought JImbei and only tied, going on to fighting a sleeping WB and losing
Why the fuck is he bragging about being able to treat them like normal human beings, when he can already do that?
Why the fuck is he saying that punches and blades are something Ace can avoid, when Blackbeard could already have harmed Ace with Haki, as would most of the Wbp, or BBP?
Thankfully, Luffys grandpa isn't a pirate, so you can't use this retarded excuse. Garp was specifically training Luffy to be a marine, per the man himself, He threw him into the jungle etc, but missed out on the most important skill a marine should know. Why exactly?
Paradise pirates work for new world pirates............. like Bellamy is working under Doflamingo, lol. He and his friends also read about pirates and love looking at bounties. You have new world pirates returning to the grandline interacting with pirates there, and somehow the main power or one of the main powers of Gold Roger, WB, Bm, Kaido, Shanks, Admirals etc doesn't come up, because uh....
Oh yeah, there's no story reason except assuming that people in OP never talk about anything, ever. "Muh story" though.
The fact that Lucci pretty much never used Haki in pre TS, makes it pretty obvious he somehow wasn't familiar with it. And btw, the idea that civilians could dismiss basic science and assume that Garp could hurt Logias because he's called a hero is the dumbest thing i've seen about OP on the internet, maybe ever. Would civilians also not question if Garp betrayed other basic scientific principles and came back from the dead, because he's called a hero? What if he flew to the moon and flew back? At what point would they question literally anything? time travel?
He literally isn't. Cocky Logias go to the new world and get crushed by the likes of Pekoms. Ace was a major pirate in the new world and clashed with Jimbei for days, and fought with Kaidos partner. He obviously would be used to getting hit in the new world. This doesn't even need an explanation.

Ace and Blackbeard are physically in paradise sure.... but they literally know each other from the new world. They are new world pirates, Ace has been one since like, 2 years, and Blackbeard has been in the new world since like, 25 years ago or whatever..............
Oda didn't plan Haki in Alabasta, nor did he plan mantra to be called observation haki in Skypia. These are things he established later on, but if he had planned it, there's absolutely no reason to not show off Ace using Haki in Alabasta.
He uses his hook because Luffy can't be physically harmed by his punches, without Haki. If Croco had Haki, he could literally just punch Luffy instead of trying to poison him. And lmfao at base Luffy beating a skilled Haki user.
1.chapter 100 happens before Alabasta and Skypia, retard
2.Luffy learning Haki does not mean he would beat admirals, admirals can beat characters with Haki, low diff. And Oda didn't even let Luffy fight an admiral until he got advanced Haki, hundreds of chapters after he actually learned basic Haki. He didn't even let Luffy have a proper fight with Fujitora, instead waiting until fucking Egghead, which is like, 12 years into the time skip. There's absolutely no reason for Oda to hoop through justifications for Luffy beating Logias, if he had planned something that could easily deal with them