The word is built the plain way: hate, plus -er for the one who does it. So the first picture is simply a person with something they cannot stand, and the thing is normally named right beside them — a man hater, a hater of waste. Then the internet kept the shape and dropped the object. Nobody says what is hated any more; it is understood to be you. And once the object disappeared, the word had room to carry a judgement instead: that the dislike is not earned, and is probably envy.
From the word’s history
From Middle English hatere, that is hate plus -er, the ending for the person who does something. Old English had hetend for an enemy, literally a hater, and the same build shows up in German Hasser and Danish hader.
來自中古英語的 hatere，也就是 hate 加上表示「做這件事的人」的 -er。古英語用 hetend 指敵人，字面上就是「恨的人」。同樣的造法在德文 Hasser、丹麥文 hader 裡也看得到，所以這是日耳曼語系裡很老的一種構詞。
Wiktionary entry supplied in this packet (kaikki:3f6f69a190036ae4:646111850): From Middle English hatere, equivalent to hate + -er; compare Old English hetend, Dutch hater, German Hasser, Danish hader.
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