It's sort of tied to identity. If you do not cling to a specific identity, then it frees you to empathize with a wide range of people. If you say "I am white/asian/tall/rich", then it forms an in-group vs out-group mentality, and obstructs empathy.
For example, does it strike you odd that any land should be deemed "discovered" when there are already inhabiting humans there?
Whatever your viewpoint, the exploration of America was pretty complicated and complex, and even just the story of discovery alone is more than Columbus. So open it up, celebrate all the explorers involved. If you've got a story to tell about the first people across the land bridge and down into the continent, let's add that too.
I'd be fine with celebrating the entire story of the exploration of the continent.
Why is euro-centrism bad? I am not of European descent, but historically speaking, contributions made by Europeans are undeniably tremendous. I don't think there's anything controversial about acknowledging that Europeans had a pretty remarkable run in recent centuries. Does euro-centrism have a bad name because of colonialism?