If you live where the public schools are good, the kid does well. If responsible parents can provide education at home, the kid does well. The problems crop up when the lazy, hypocritical jw parents are homeschooling for the wrong reasons - for example, a family we know has a mom who only wants to procreate, not actually do everything children need. She constantly ridicules public schooling and encourages her children to make fun of my granddaughter, who enjoys going to public school and is continuing to earn good grades. She doesn't want to have to get up early and go through everything that it takes to have kids in school. But her children have BEGGED to be allowed to go. My granddaughter was told she would only be allowed to go to public school through the 8th grade, and after that, mandatory homeschool like her step-sibs.
Thankfully her mother was able to regain custody and grandkid is doing wonderfully well in 9th grade. She's in jazz band playing upright bass. She's in French language class which she is enjoying. Also taking drama and art, making props and learning stage makeup and lots more stage craft. She has made lots of friends, and they are all ambitious, studious kids who enjoy school so much and they have tons of fun together.
She often remarks that she can't believe the contrast between her present life and the dark misery she left behind in her father's jw cult household. She has told us many instances over the years of the stepmother printing off workpages and handing them out to the kids and that's supposed to be their schooling for the day. They were never up out of bed when my granddaughter left the house to meet the bus. Sometimes she'd come home and they were all still in pj's with their bed hair sticking up, all sitting at the table having their family bible study. Her father would order her to join the study, and homework due the next day didn't matter. She would stay up all hours doing homework, because it wasn't allowed to intrude upon the family activities! Grandkid said "It's so great not to have to half-ass my homework!"
The state allows homeschool parents to do testing at home and send in the results. A joke. Published statistics may insist that homeschoolers can assimilate in the workplace with no problem, but the jw homeschoolers we have met personally are awkward, unsure, tentative, dependent on their parents on after their teen years, without a clue which direction to turn to support themselves. They try this, they try that - a career or permanent type of business that they can sustain never shows up. They live in their parents' basements, often with spouses they've acquired and the offspring that result. It is a horrible mess.
My granddaughter met a family who made the decision to withdraw their elementary age kids and switch to homeschool. They confided in her that they absolutely HATED homeschooling and missed going to public school very much.
I'm one who was not allowed to go to school, i never even got to finish the 6th grade. I have always had difficulties trying to fit in with people my age - they always think i'm weird. I see the old people in my area who went to school together and have been friends since high school or elementary school, lifelong friends. They recognize the traits of their generation, they see themselves in each other. Homeschool for the most part can't provide that, in my opinion and personal experience.