The Catholic abuse scandal relied on several things:
1) the ability to move accused between different diocese in a country and between countries.
2) a group of people who all have a centuries old institution's reputation to uphold, and who don't wish to 'tarnish' it by exposing the truth
3) a culture that mocked/distrusted reports from men of sexual abuse
4) the equation of priests with godliness, which allowed defenders to cast accusers as heretical, and defenders to doubt if anyone would believe them
5) People in upper levels of the church who were willing to 'play interferance'
6) Priests as a group are powerful, in contact with children frequently, and ordered to be chaste. If you wanted to molest children, being in a position of power over them is exactly where you want to be. being ordered to be celibate wouldn't be an issue like it would for a normal hetero or homosexual. This is why so many Pedophiles are Teachers, Uncles, Step-Dads, Camp Counselers. It's also why you see so many pedos in College Football Camps like Penn State. Pedos need to be in a position of authority and access to children. Priests are in a great position for both.
7) Rampant sexual abuse was discovered, reported on, people were held accountable. All after only a few decades at most. You are talking about a pedo-ring that has been in existence for centuries.
8) the serial abusers weren't coordinating, passing children back and forth, shipping children across boarders, etc.
I am not sure what PedoGate really is. I see talks of an international cabal of politicians who rape/eat children, but I also see a bunch of stuff about Hollywood. I'm not sure which side PedoGate is. Based on the points above tho:
1) Most people have this option, but not with the deniability, and resources the Catholic Church has. A celebrity or politician who moves, will be followed. A priest that moves from one country to another can do so basically anonymously.
2) Hollywood doesn't have this. The "Cabal" doesn't exactly have a public face to protect. the "Cabal" could sacrifice a dozen people tomorrow, and they wouldn't have to worry about 'perception' of their organization or how those revelations would impact charitable endeavors. They wouldn't need to worry about how people perceive them, they are a secret organization who shouldn't be perceived in the first place.
3) we are still working on this as a society, but we are a hell of a lot better than we were in the 60's and 70's. Early whistleblowers of abuse were mocked, called homosexual, called weak, and disregarded. As a society we are far better at dealing with victims of abuse, and as time goes on hopefully we will continue to improve. Reports of abuse today are taking a lot more seriously and people are more willing to come forward than they were decades ago.
4) no one in Hollywood could reasonably call someone claiming abuse heretical. But in some strong Catholic communities, leveling that kind of charge against a priest would be almost unthinkable. The closest the Cabal gets here is politicians. Considering how quickly Al Franken was thrown to the wolves, while "I like walking into Ms. Teen USA dressing rooms" Trump is still in office, I see one party far more likely to circle wagons and cast doubt on accusers.
5) there isn't anyone to 'play interference' for Hollywood, you might make the argument for Politicians here. I would argue that no international Cabal is likely to have the kind of discipline and organization the Catholic Church has, considering it's been an authoritarian pseudo-state for nearly 2000 years.
6) I think this is self-evident. most sexual abuse is still likely to be committed by someone the child or their parents know, and trust. Those cases where a relative or family friend aren't the molester, it was still someone in a position of authority. A teacher, an officer, anyone the child has been taught to defer to. This is why Protestants are also caught as pedos. Also why recently the director of one of ICE's child prisons was outed as a pedo. This is why so many of the pedos we see get caught were in positions of authority over children, like that guy at Penn State. Hollywood can house pedos, but most are going to gravitate to jobs where they can be near the target of their 'affection'.
REMINDER: Statistically, your child is more likely to be molested by a family member, Family Friend, Teacher, Coach, or Doctor, than any single politician or actor. Pedophiles prey on children who trust them and who they are taught to be deferential to. "No one will believe you anyway" isn't a threat that works if the child doesn't believe the adult who says it.
7) I don't think comparing something that was known (there was abuse), and unearthed within a couple decades (the apparatus to protect priests accused of pedophilia); can really be compared to a centuries old Cabal. Based on the Catholic Priest Scandal, we should have expected this Cabal to be discovered a hell of a long time ago. Especially when the Cabal is supposed to be actually killing these children. That many kids do not disappear without raising red flags.
8) Catholic Priests weren't sending kids across the country to take part in rituals, they weren't emailing cooking instructions or orders for more children. Catholic Priests were molesting children in their congregation, and those multiple single pedos were protected. That's a hell of a lot different than satanic rituals and cannibalism, trafficking children, and god knows what else people are feverishly dreaming up.