I had a very similar experience to you. The only parts of BotW that came close to the "feel" of OoT were the Divine Beasts, but they were such a small part of the game.

My biggest criticism was how much like it felt like you were canonically in a game. Link with his iPad complete with selfie camera, and the clearly computer-generated matrix-y shrines, and if you went too far towards the mountains a "You can't go further that way" message, the strongest feeling I got playing that game is that in truth Link is being observed in a simulated fishbowl environment. A cool idea for a game to lean into, maybe, but not in this case.