Oh, no, you're not alone at all! (Frankly, if I were the only one, I'd be fine with that, but it is nice to know there are others who feel all cozy inside when addressing their animals with cutesy names!)

Loki is (The) Loke, Lokistar, Loki-Boom-Boki, Lokibrat, Baby, Honey, Sweetie, Sweetstuff, Sweetheart, Sweets, The Best, The Bestest One, Bestest Birdie, My Birdy-Bird, Qwerty Bird (QWERTY are the first six letters on the keyboard; I'm a typist and couldn't think of a rhyme to one of the many silly poems I make up for Loki, so I started calling him that), Sugar Pie, Sweetie Pie, Sugar, and a bunch more!