It doesn't state laptop specifically. I purchased a laptop after I was awarded DSAs but wanted to pick my own rather than what the supplier offered (over-priced and under-spec'ed).
Should SFE have sent me this form in a natural progression of events?
That's the right form. First, though, have you had written confirmation from SFE that you can purchase your own laptop instead of the recommended one, and giving you instructions on how to do so? If not, wait to purchase a laptop until you have.