I was trained in touch typing in high school. Graduated with a certificate for 100 wpm with 0 errors.
Wordprocessing was "on-the-job-training" since computers weren't common in a business setting at the time I started.
I started on a manual typewriter of which my fondest

memories are: trying to make my small fingers reach the top row of keys and getting my fingers caught between the keys!!!! Electric typewriters were only used in our second year of typing class.
I have no idea what students are being taught today but it would be interesting to find out.
I think it is very important to be taught to type properly. I think you can get more speed and accuracy by using all of your fingers.