I'm not sure about your conclusion here. If you can teach them yourself, you save sparks, although it may take longer to level up their skill. When you're in a hurry for them to gain skills, classes and tutors (or your assistant) will be better than you for a long time, so trying to optimize for raising your teaching skill might not be the best prioritization. It will happen naturally as you teach obedient slaves later in the game.
Well what I'm saying is in the early game, there weren't very many skills I could teach yet at all. I spent a lot of time cleaning so I could teach maid skills, and I did it specifically so I could try to level up my teaching skill, but knowing what I know now, that was futile at that point in time.
Instead of trying to teach them myself first and then send them to classes to teach the other skills I couldn't later, I should have been sending them to classes first, holding off on teaching them myself with the very limited options I had, until they were obedient enough for those lessons to work. It would have been the much more optimal way of going about it.
I was just under the impression that trying to train them myself early on would help me progress, but it turns out that with the way the mechanic works that I had it all backwards. Ultimately I still would have tought them the same things personally, and sent them to the exact same classes, I just should have reversed the order I did it in. Classes first, personal training later. If I had done that I probably would have leveled my teaching skill by at least 2 or 3 points by now which would have made all of this much much easier on me in general. I'm glad I at least know it now. lol