This is, AFAIK, a cosmetic issue if you were to use a non-integrated fork with an integrated headset.
I commandeered an integrated fork (probably, Dedacciai) which came off a ~2001 OLMO with a 1" integrated headset to use with an older steel OLMO frame ... fortunately, I recognized that the Campagnolo race is the "same" as a Cane Creek race, so I simply installed Cane Creek headset -- it would have been all but impossible to remove the crown race without grinding/cutting it off. The integrated fork's shoulder actually looks fine as the fork shoulder mates nicely with the lower bearing cup.
The shoulder of the Easton fork, in question (integrated, or not), may not be a perfect COSMETIC match for the headtube on the Pinarello frame ... but, otherwise, I don't see why it shouldn't work.
Mounting a new/suitable crown race onto the Easton fork should make it good-to-go with the Pinarello frame.