The former defender believes the debate should be about why the Gunners are performing so inconsistently.
The Gunners were beaten by Olympiakos in the Champions League in midweek, with Arsene Wenger coming in for criticism for choosing Ospina ahead of Cech for a crucial contest.
It was a decision that backfired as Ospina committed a goalkeeping howler to gift the Greeks their second of the evening, but Winterburn says the discussion now should focus on how to put performances right, rather than who to select between the sticks.
“If you looked at it on what Ospina produced last season it shouldn't have been a problem,” he told Sky Sports.
“The debate should have been why are Arsenal being so inconsistent this season, but because he put a goalkeeper in who dropped the ball and costs them a goal everyone is asking why he didn't go with Cech.”
Wenger being asked the wrong questions by the media
The former defender also believes that people should be asking Wenger what he is doing to get his side to return to their levels of last season.
His side ended the 2014/15 campaign as one of the most in-form sides in Europe, with a series of excellent performances leading them to a top-four finish and back-to-back FA Cup triumphs.
The manager has been visibly annoyed by questions about Cech and Ospina in his conferences this week, and Winterburn says the Frenchman is being pressed on the wrong issues.
“The same question wasn't asked after the first game when Cech made two mistakes against West Ham,” he added.
“You can see Wenger feels he's being questioned about his decisions when the question should be what is he trying to do to get the performances from last season.”