Except in this study they were comparing writing on a paper to writing on a tablet so it seems that somehow the fact that the writing happened to a piece of paper makes our memory better and its not just the act of writing itself.
That's testable, but if it turns out to have a benefit, you'll have to implement that effect on all tablets and phones, and make corrections more difficult (???).
However, I don't think it has a benefit: people don't correct themselves on tablet/phone, so I think the cost of a mistake is the same as on paper, namely 0, unless people are really more careful when writing.
