"Pay one's dues" "Earn respect" "Part of the in-group"
I am sorry but this is not my experience at all. What you've described is how gangs work, not companies.
I am hired to work on certain areas due to my skills and knowledge. Shitty tasks are everyone's (in the team) responsibility. I am not hired to "pay my dues" and "earn respect" to become "part of the in-group". I'd leave that initiation ritual to other, uh, industries.
If your perspective is that onboarding is basically hazing people have to do to fit in at your company, I think that's pretty messed up. The best places I worked at tried to get people to ship meaningful features that would have an impact quickly.
There are multiple silos of this where I work, not necessarily because nobody wants to touch it, but because we just don't have enough people.
I've picked one of them up and my teammate now come to me for advice when they deal with this silo of stuff.
Don't underestimate the small things, unless they're things that does not need to be done, in which case you need to raise this at planning and explain how they are not necessary to waste effort on, and bury them forever.
It's called "paying your dues" and exists in all industries. You need to earn respect of your new colleagues by doing some of that shitty work and doing it well. If all goes well, in a couple of months you'll be a part of the in-group and will get the interesting tasks.