The Reds were seemingly in control of the Round 19 catch up fixture when they were two goals to the good but after a red card to defender Iain Fyfe just after the hour-mark, they capitulated, conceding three goals in the final half-hour.
The loss is likely to cost Adelaide any chance of making the top six this season and Aloisi believes it was a case of poor coaching rather than being hindered by the loss of one player.
"At 2-0 up, when you really need the three points, you have to shut the game down. He needed to change things completely and close down the midfield," Aloisi said.
"(Coach) Dave Mitchell won the game for Perth. He used his substitutes early when Adelaide left it too late.
"Even at 2-1 after the send-off, Adelaide should have won. But they allowed the game to be far too open."
The Reds will be out to atone for their devastating loss when they take on arch rivals Melbourne Victory at Etihad Stadium on Saturday night.