A quote from that post: "So animal brains - up until recently - were not major players in the planetary game of optimization; they were pieces but not players."

Again, no mention of sexual selection. Brains are players in the optimisation process. Animal brains get to perform selection directly. Females give male tyres a good kicking before choosing them - a bit like unit testing. Sexual selection is not even the only mechanism - natural selection can do this too.