Alright, let's do numbers too. In DS2, after the (skippable but at exchange of missing some items, yay) tutorial, you can go for... *drum roll* 4 bosses in two areas. And that's not counting speeding for Licia or the Branch of Yore, nor advancing further to the Bastille. If I did, you have *anther drum roll* 9 bosses in 6 areas. Nevermind how speeding through a specific thing for your build or other purposes isn't as braindead as just running around everywhere, as you choose where are you going to spend your Branches of Yore. Loot is less arbitrarily distributed, so Faith builds get to eat less shit, to name one. if you have a personal issue witha ny of the other areas, you can spend some 30 minutes to be able to go directly towards the Castle.The moment you get dropped onto Firelink Shrine in Dark Souls 1, you can fight 7(!) different Bosses from the get-go, all available on 5 different levels.
Though, to be fair, Dark Souls 1 had Master Key gift that you can choose for any class or it comes immediately with Thief class. However, that's one of the most amazing things about Dark Souls 1, which really disappoint me about the later games not having similar item or similar way to open the first half of the game like that.
I haven't played Demon's Souls, but based on that fact alone Dark Souls 1 is WAY more open and less linear than any of the later titles could ever offer.
And later on, the game is still open by having big optional paths and areas. The post-Drangleic Castle stretch is a lot more open in SOTFS due to having all the DLCs avaleible at that point (albeit you could go to Shulva SUPER early just after the Rotten, and the Iron Key avaleible after beating Iron Keep.), then having the Frozen Flower to get to Loyce. Added to those three long paths, you have the main stretch. Then, the game will reopen a bit due to the use of the King's Ring, albeit for not much reason yet. After acquiring the Ashen Mist heart, you have yet another little batch of secrets and backtracking (Dragon memory, Alonne Memory, three Giant Memories), and then finally the end boss rush, which you could quite trivialize going between the King's Ring and the Kinship.
What I mean is that Dark Souls 2 will make you wonder: "Where do I go now?" very akin to DeS. DaS1, the question was more like "Will I go out of the path for some reason?"
Oh and handsome, the paths are mostly even as difficulty goes but still hard enough, so that doing ones doesn't necesarily mean steamrolling the others. In DS1 you're squinting to not get three-shot by the skeletons, pray to not get raped by the Ghosts and fighting Drakes is out of the question. Queelag "right from the get-go" is somethign I'd like you to do and show me. Or the Four Kings.
Ah, or are we talking about NG+? Aaare we now?
Btw, the reason why the Master Key is so good is because it allowed you to skip the entire Lower Burg - Blighttown stretch, which is arguably the shittiest (literally) part of the early game. Anyway.