Of course, student bow holds need monitoring/refining until....always!
But for most students, yes, when the time has come for their Things 4 Strings© accessory to be removed from their bow, the hand has learned the basics of what to do.
This is especially true for kinesthetic learners; visual learners may require a more thorough bow hold re-explaination once the accessory is removed.
Aside from the bow hold help, three significant additional benefits of the accessories to a beginner are:
1) the relaxed bow hand translates into a more relaxed bow arm.
A relaxed bow arm much easier to work with and train!
2) the re-allocation of lesson minutes previously devoted to bow hold correction.
How many minutes of each beginner's lesson are typically spent on bow hold correction/explaination?
Multiply those minutes by a year's worth of lessons, and you can quickly realize the accessory's value in recovered lesson time.
For example, in a studio offering 30 thirty-minute lessons per year, the re-allocation of just 5 minutes per lesson adds up to the equivalant of 5 entire extra lessons per year!
3) the absolute removal of a major source of frustration in the beginning player experience.
When a fine teacher corrects a bow hold multiple times in a lesson (which is a situation that can occur for....years!), the message is the student percieves is NOT:
"Oh, how lucky I am to have such a fine teacher who cares so much about my future as a musician!"
But rather, the student may well be thinking:
"There is something difficult about playing this instrument and I am not very good at it....."
Experienced teachers know that less frustration leads to a better learning situation.