I've successfully trained my dog to be non-reactive towards squirrels/birds/etc. on walks. The other day she walked by a rabbit from within a few feet, and hardly gave it even a look. And I felt bad, as though I've suppressed her natural self and ability to be excited about such a thing. She's now pacified to live in my world.
An irrational feeling, because she's now at much less risk of being run over by a vehicle, but it was a feeling nonetheless.