I don't see any similarity in spirit, either; I have played both, extensively.
2nn Ed is heavily narrative (epic campaign settings, meta-stories), can be played sitting in armchairs around a coffee shop (David Zeb Cook wanted it that way), a lot of TotM play; 4th Ed is all about the Encounter, heavily leans into cool stuff you can do with pieces of plastic on dungeon tiles.
Ah, this is where our disagreement lies. 4e is also very narrative-centered, with tons of narrativist mechanics and even a FATE-style freeform skill system where stuff is supposed to be adjudicated by the DM on the fly. Doing only encounters is not playing to the system's strength. I both played and ran sessions of 4e without a single combat in them, and I loved them still.