Might be better to run the calcs against something that they hit harder so you can see the difference better.
252 Atk Jolly Reckless Staraptor Brave Bird vs 252/160 Spinda:
82.7% - 97.5%
when Staraptor has Life Orb:
107.4% - 126.9%
252 Atk Jolly Guts-boosted Swellow Brave Bird vs 252/160 Spinda:
81.8% - 96.6%
So Staraptor hits slightly harder, even without Life Orb, and the difference is even bigger since Staraptor can carry Life Orb while Swellow must carry Toxic or Flame Orb.
Also Staraptor is better considering it gets Close Combat.
252 Atk Jolly Reckless Staraptor Brave Bird vs 252/160 Spinda:
82.7% - 97.5%
when Staraptor has Life Orb:
107.4% - 126.9%
252 Atk Jolly Guts-boosted Swellow Brave Bird vs 252/160 Spinda:
81.8% - 96.6%
So Staraptor hits slightly harder, even without Life Orb, and the difference is even bigger since Staraptor can carry Life Orb while Swellow must carry Toxic or Flame Orb.
Also Staraptor is better considering it gets Close Combat.