can't back it up but
my logic suggests that as you will need to start to flare slightly higher on the 4.5 deg app to arrest the rate of descent ~ the time / distance to the subsequent touchdown (at the correct speed) must increase as your flare will take a little longer. Therefore the landing distance will increase too as you will actually touch down a very little further down the runway. The distance to stop once on the deck should remain the same.
If you eyeball it to be aiming a little low on the app just before touchdown you can still land on the numbers and it all stays the same.
The manly way of course is sod the flare altogether and dump 10 kts into the runway on landing