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I don't know if anyone's said this before, but I'm 90 percent sure that if Rick had written only PJO, no sequels and no short stories, there wouldn't be many anti Percabeths.
Sure, they'd still point out weird moments like Percy 'getting used' to his nickname or Percy's internal monologue about him and Annabeth at the beginning of TLO, but in the end, barely anyone would criticise it.
There is basis for anti Percabeth people in PJO, but it's weak. Their main basis comes from HOO, the sides stories and the new trilogy.