I think we need to define accuracy and speed. Once a SAFE shooter can reliably hit the A zone at 15-25 yds, I think they are ready to learn to shoot follow up shots, target transitions, and begin timed drills.
I agree with @GJM and @cheby.
My experience is that accuracy-only trained shooters can be uncomfortable with a “good enough” sight picture, and once time is introduced have a more difficult learning process.
Starting at 13, my daughter learned accuracy and speed together. It wasn’t a big deal to her.