All of the rings you mentioned, save for Third Dragon, can only be gotten in NG+ for those bonuses (also afaik Cloranthy +2 only gives +20% stamina regen, if that). And even if you take those NG+ versions, Life Ring+2 with Third Dragon still give a smaller benefit than FAP. Nothing comes even close to what Havel's does, although the comparison isn't as obvious since equip load works differently. Point stands though, these rings were very easy to get in DaS1 - you'll note that I'm not seriously bringing up DWGR or Cloranthy (+40% regen in DaS1), because those are hard to find, and most first time players won't happen upon them. Third Dragon is hidden (although not that well) at the very end of the game, and even to get something like Blades +1, you need to do something counterintuitive.
As for stats, you do get higher SL, but you also have more useful stats to invest in. A melee character will need to increase Endurance, Vitality, Adaptability, Str and/or Dex, and possibly Vigor - in DaS1, you'd get End to 40, Str or Dex to 40, and then pump Vit because there wasn't anything else to do. For instance, if you want 13 iframes on your roll (same as DaS1 fast roll), you need 105 Agility, which is over 30 ADP - a nontrivial investment. A similar investment in Vitality is needed if you plan to wear heavy-ish armor, use a heavy weapon, and still roll decently.
I personally don't sink a lot of points into Vigor in DaS2, so maybe I'm oblivious to its brokenness, but playing the game normally (having finished it once before) with optimal stat allocation, certainly feels a lot more balanced than Endurance stacking from the very beginning in DaS1, which made me feel so overpowered, that I turned to SL1. Also, just from watching some LPs, I've seen many awful players facetank Manus or Kalameet with 20 Estus and win easily, but nothing similar in DaS2 for Smelter Demon.
On an unrelated note, the early game in DaS2 can be really fucking brutal for a player completely new to Souls, especially if they go Last Giant -> Pursuer -> Sentinels without ever visiting Heide's. Pursuer in particular delivers much tasteful rape in this scenario.