What would this public petition accomplish that individual letters to the Holy See would not accomplish? Nothing.
Essentially Lifesite is encouraging people to play the secular political game, and apply that to the Church. Lifesite is one of a dozen or so competing websites on the Right. They all try to boost their website hits, sell more ads, generate more donations. It used to be these media could get attention by criticizing pastors or convents; then when their competitors were doing that, they all had to escalate to denouncing bishops. Now that is old hat, so they have to criticize the pope.
They don’t do it directly. They make a point, gosh, so many laity are hurt, and feeling confused by the ambiguity and alleged heresy coming out of Rome. We are just trying to help laity express their feelings to Rome, seeking clarification.
Baloney.
Keep in mind Lifesite wants you to route your hurts and concerns through them. Their competitors would prefer you route your concerns through the competitor websites. But is Lifesite, and the similar sites, really responding to confusion and hurt among the laity or are they generating half of that confusion and hurt?
Lifesite is not always wrong, like any hammer some of the things they hit actually are nails. But they have no ability to support Catholic authority when it happens to be right. They have one mode - outrage - and they lack the ability to discern other sources of problems besides Catholic authority. A good Catholic medium could shift gears, they can’t.
I suspect even if Cardinal Burke were made next pope, even if most new bishops were like Bishop Schneider, Lifesite would keep finding Rome and the bishops as constant sources of problems rather than secular sources, and rather than finding any strengths in Catholic authority. They only have one gear.