I think I played Zelda mostly like you. I was more interested in exploring the world, going to every spot on the map, taming horses, and experimenting with the game's systems. I only stopped to do Shrine's so I could upgrade my health and stamina to aid in my exploration.
I have some complaints about the game in that while I like the approach they took to this Zelda, I would have appreciated some more of the old Zelda. I really would have appreciated some more items. A grappeling hook would have been nice, or at least a bit more progression. As the game is, the stuff you get in the opening is all you get, and as such, you never get that satisfaction of getting a new item and coming back to an inaccessible place and opening up new areas like you did in the previous games.
Dungeons are also a bit shit. As an open world exploration game, it's a masterpiece. As a Zelda game, it's a bit eh. Although Zelda herself is the most compelling she's ever been.
This game did wow me though. I got the same feeling I felt when playing Xenoblade Chronicles X - I wanted to push on just to see what was around the next corner. I don't usually get that in games though outside of the one I mentioned, some Bethesda games and Piranha Bytes games.