Interesting idea. May I ask where you found that technique please?
Those that verbalise couldn't simultaneously do another verbal task, while the visualisers couldn't do another visual task, suggesting that separate parts of the brain were involved, and occupied by counting.
Now that I knew visual counting was an option (I was a verbaliser) I trained myself to do it. Unfortunately I'm yet to find an situation were the ability to choose between visual and verbal counting has been useful.