Yes the neo-SSPX is against homeschooling, and I'll go you one better -- the OLD SSPX, Classic SSPX was ALSO negative on homeschooling, especially where and when they had set up a school.

I would describe their attitude towards homeschooling as "tolerant at best". They HATE it when you say "Our Lord was homeschooled".

What I'm saying is, the old SSPX wasn't perfect, and one of those FEW POINTS of imperfection was their over-emphasis on their organization as being great. As Fr. (later, bishop) Frank Slupski said, "They think they're the Church" and his criticism was spot-on. They did have a tedency to think themselves better than other Trad priests and smaller groups -- and that pride is PRECISELY what caused their downfall years later!

They are so obsessed with the good of their organization, that they throw anything and everyone else under the bus -- homeschooling, other independent priests and apostolates, etc. "All for the group!", "Rah Rah Team!"

It's always been the thing you have to put up with or swallow, in order to enjoy all the benefits the SSPX offered (and still, to a lesser extent, offers to this day). They are SO high on themselves -- as an organization. Not talking about particular priests. But some of them embody this spirit more than others.

I have witnessed the good results of homeschooling.  Many young people are trying to live their faith.  Many coudn’t afford to send their families to these private schools.  

Looking at older people who attended Catholic schools prior to Vatican II, many who attended didn’t live out their faith and weren’t properly catechized.
Money wasted. 

Yes, so many scandals involving SSPX schools. History has repeated itself.  No better than the novus Ordo.  The novus Ordo doesn’t like homeschooling because it loses out on tuition.  Money.  Which trad parishes and schools were pushing the vax and masks. You will know them by their fruits. 

Many years ago, Catholic schools were paid with parish collections and it was low cost and good education because nuns were teachers and priests too.  There was Catholic schools for girls and another school for boys. 

If you are going to homeschool, make sure the children get socialized appropriately before too long. Get them into sports, how to cope with hardships, lose at things, build character, etc. Lot's of trad homeschoolers have no clue how to operate in any capacity in the real world after 18 years of age it seems.

I agree.  That's probably the type of scenario the SSPX priest mentioned with homeschooling being "child abuse".  I've seen this happen in a number of cases, where the children were living in a bubble so that when they finally went out into the real world, it was a shock to their system, and they were unable to cope.  Several of them ended up just losing the faith, perhaps because the whole thing was too much for them, and they resented their parents from keeping them in some kind of mini-cult as they viewed it.  They were incapable of socializing and dealing with situations even among other Traditional Catholics.  In fact, it is very easy for the home-schooling environment to resemble a little cult, not unlike a David Koresh compound but on a smaller scale.

Many children had chores and worked jobs when they turned a certain age.

Then there many home schoolers who are fed to wolves by going to secular universities. 

I know a young woman who recently graduated from a 4 year school. She didn't get "indoctrinated" or anything like that, but she feels she has to find a job and get rid of her debt first... By the time that's done she'll be at least 30. This is also a huge issue. 

When I was in the indult (FSSP and ICRSS), I noticed they were very pro-homeschooling (probably ∵ they didn't have their own schools like the SSPX does). One FSSP priest I knew even regularly attended annual homeschooling conferences.

The FSSP parish here hosts a very large homeschooling co-op (~50 students!). Indult, diocesan, SSPX, and other trad-minded all attend.

What's the Resistance's stand on homeschooling?

Good question. If you're sending your child/children to Catholic school, I assume you're forking out money. Not something at least a lot of -35 year old couples have. Most sedes/resistance homeschool. If I could I would co-op my children as well.