It absolutely does not. It may work pretty well for the simple case, but any sort of personalized instruction is being thrown out the window when you scale TAs to courses of several hundred students.
Speaking as a former TA, there’s only so much instruction you can provide and while you can focus on helping a particular student more to ensure they get the help they need, that’s usually to the detriment of the other students you’re supporting.
I’m also a former TA and with 25 TAs we covered a class of 180 just fine. Sometimes it was more like 1 on 3 but most of the time not, and every student had the opportunity to ask direct questions and get personalized answers any day of the week
Instead, I'm talking about a tutorial system where a student receives the vast majority of their education from dedicated time with an individual instructor.
This doesn't seem like an "of course" thing to me. University office-hours and the TA system work pretty well for this kind of thing.