Opus Dei and Jesuits don’t mix. On that basis alone, the premise is ridiculous.
According to anti-Catholics, St. Josemaria Escriva once said:
“I would prefer a million times that a daughter of mine die without the Last Sacraments than that they be administered to her by a Jesuit.”
I have no idea if he ever said that, but a number of anti-Catholic websites have that quote - no source is given of course so I have no idea if it is an accurate quote.