>>54346585I think the point is that Gen2 Lance says something that gives him more personality and edge, while the HGSS quote is basically a tutorial-tier line with pure educational purpose.
Gen2 Lance doesn't join merely because he's the good character™ and fights for justice, he's also in because he takes pleasure in beating Team Rocket's sore asses. He talks in a sarcastic, asshole-ish way.
Gen4 Lance in that dialogue sounds like he's stripped of his personality and is just the umpteenth boring character talking like he's in a kids' show.
Gen2 Lance's line would've worked perfectly even as the prelude of a double battle, there was no reason to turn that sentence into an explanation of double battles and even asking TR to /allow/ him to join.
That's unnecessarily sanitized dialogue.