"Falling off" is not about damage alone.
Even back in S2 when Shaco was considered to fall off a cliff by mid game. He still one shot people who had few or no tank items with his crit/AD build. People on the boards often make the mistake of thinking that means a champion does not fall off.
"Falling off" however has little to do with damage. Shaco, Jayce, Lee Sin, Quinn, Pantheon, Renekton. These champions fall off late game. They all still do plenty of damage, but it has to do with how the game dynamic changes. The tools they have are incredibly strong for laning phase. Either they can bully in lane, invade in jungle or gank very well. Whatever it is they have a strong laning phase due to TOOLS.
When they fall off it is because the game has shifted to team fighting, objective disputes and sieges. Where a team playing properly can fairly easily mitigate their ability to apply their damage and use their tools in the intended manner.
For example. A Pantheon early game can ult mid and kill a Syndra or Vlad ez pz without much opportunity for them to react with blowing a summoner spell. And he can murder the Riven he is laning against over and over with relative ease. By mid game however a big sturdy Zac is peeling him off of Syndra, the tightly packed formation can CC him out of his heartseeker strike and blow him up, the support can exhaust him. Meanwhile Riven can focus on flanking his carries. His usefulness has fallen off. Now if he and his team play well or your team plays bad, he will certainly still blow shit up. But his tools were not meant for this setting.
Scalings and base damages can help or hinder how hard a champion falls off. But they are NOT the basis for it. Another form of falling off is when a champion is hard countered by late game itemization. For example GA counters many reset based champions(just one example).
This is falling off. Not the scaling of a single ability or combo. It doesn't mean they are fair or fun to fight. But it IS falling off.
Thank you.
QQers: What? NO! Lee doesn't fall off he is too powerful in every state of the game nerf plz rito!!!!!!