I'll throw in my two cents worth as I have done a considerable number of barrels before and after....
Yes, fluting does alter bore dimensions. The bore opens up a bit in diameter in the fluted section. You can feel this with a tight patch or lead lap after fluting.
Here is when a couple of barrel makers do their fluting:
Rock: After drilling, before reaming and rifling.
Broughton: After buttoning, but then it is stressed relieved (by heat, not cryo) and then lapped.
Schneider: about the same as Broughton.
All of them recommend re-lapping the bore if you flute after build up.
I have fluted several barrels after rifling-but before chambering and they took longer to break in and settle in before they started shooting well.
There is a bunch of smoke and mirrors BS out there about fluting- what it does do and what it doesn't do- you make your own decision there, but if you want to flute a barrel that is already chambered, have it lapped at least to help maintain accuracy.