That depends ;)
You hate toothpicks, fair enough.
Flossing is faster but it would be an extra step / thing to do at the end of the day (the recommended daily flossing). In the way I told my parent here to try replacing that, you're correct. Flossing would be faster!
In the original comment I made about toothpicking by dad, I'm wasn't talking about using a toothpick to just get some food that's stuck out. Everyone uses that from time to time I suppose. And also not as a floss replacement task at the end of the day. The kind of toothpicking I mentioned that he did was basically "automatic" and while doing other stuff. Basically a way to keep your hands occupied while otherwise idle and not as a specific "do this X minutes every day as part of your brushing routine".
Less painful: That really depends as well. The flossing the dentist does is super painful. I hate it when they do that. Using a toothpick? Not painful at all. I don't poke it into the gums. What do you do?
Thorough: Potentially, I'll give you that. It can reach some parts that toothpicks never will be able to I suppose. Then again, those are the parts in my experience where the floss gets stuck, feathers out and bits stay in between the teeth and you gotta try to get them out with yet more floss. They're also the parts that make flossing painful because you have to apply so much force to get the floss through that it tends to hit the gum line. That hurts. It's why it sucks so much when the dentist does it. If you do it yourself you at least have a bit of control and will be able to try to avoid that. But the dentist just wants to get through the flossing as fast as they can, so they really jam it in there and pull it down hard.