You're pretty much right. Clinton was still able to get stuff done, Obama not so much. But not really his fault, the GOP's entire strategy by that point was just to obstruct as much as possible. That STARTED in the Clinton years but didn't become basically all there was to GOP Congressional policy until the Obama years.
True.....this is why a lot of people fear a Biden second term because what can he get done in 2025-29 with a Republican Congress, especially in a potential six-year itch?
Presidents need to make a mark right away, especially in Years 1 and 2....that's why FDR was one of the greatest....he made a mark right away and we are still reaping from it (New Deal programs, etc.)