Is that "typical"?
It's a leap to assume that it's "typical" that homeschooling parents incompetent and incapable of educating their children. If anything, I'd assume the extra attention and emotional investment that's possible could make up for a lack of a educational credentials.
It's also a leap that the public schools would do better. It's also a common theme here that a motivation for homeschooling lack of academic rigor or outright failure of the public schools. I could see homeschooling as the only realistic option for a parent who lives in a failing school district (which are depressingly common) but is not wealthy enough to afford private school tuition (and has no access to vouchers).
And I'm not really biased here: I send my kids to public school.
These don't need to be exceptional, but they do probably need to be above-average to do a decent job, and obviously time and wealth are entangled (no time if have to work two jobs).
IMO, private religious schools with appropriate regulation (ie not some indoctrination academy) are a great thing, and I think supporting families in some way to avail themselves of them is a good compromise.
As I stated elsewhere here, my kids went to catholic schools and did great. I’m not approaching this as a “thou shalt public school” perspective. I also coached baseball to age 15, and I can tell you that kids benefit from someone who isn’t mom or dad instructing them.