Scientists say the unicorns did exist...

Yes, it was right. People have the definition of a unicorn stuck on it being a horse with a single horn, but the actual definition of unicorn is “a mythical creature resembling a horse, with a single horn in the center of its forehead: often symbolic of chastity or purity.” and “a heraldic representation of this animal, in the form of a horse with a lion's tail and with a long, straight, and spirally twisted horn.”. So it isn’t a horse, it is an animal that resembles one with specific features, but most importantly it symbolically represents chastity and purity.