Gold Ship is a pretty famous horse in the racehorse world for two main reasons, one of them being how eccentric and capricious he is. Gold Ship is known to be extremely expressive, and in particular enjoys doing the face where he angles his head and sticks his tongue out (third one on the third row of the first image and again on the third row on the second image).
Thisface is particularly notorious not only because he does it constantly while socializing with humans (if you didn't know, horses are in fact social animals, regardless of whether they are domesticated or feral!), but also because he did it on live television during a segment focused on him (in which the tv host "interviewed" him), right into the camera.
He is, in general, a very quirky horse that'll just do things for the zest of it, but he also is known to rear and kick, which only adds to his wild reputation.
The other main reason Gold Ship is known is that he was a freaking fast horse that would sometimes win by a landslide, and other times, would show disappointing races. It mostly depended on whether Gold Ship felt like racing that day or not, honestly, with a track record of befuddling loses against mediocre competition and incredible victories against juggernauts. Gold Ship has world renown due to being recognized by some authorities as one of the world's greatest third-year horses, due to his incredible third year season (victory after victory in high profile races). If you're into racehorses, you likely knew of Gold Ship before Uma Musume, as is the case with me, haha (the other one I knew about, personally, was Tokai Teio due to dressage).
So it stands to reason that Uma Musume!Gold Ship would be Like That, dropkicks included.