The Race wouldn't have the cutout the crown of the fork would have it.
As long it lays flat for the bearing to rotate smoothly is important.
If you're brave, you could cut a thin slit into the race, so its easier to install and remove. What I have done to install races without a tool at home, is actually installing the bottom race, bearing, install into the frame, slide the top bearings and other parts including the stem with spacers, making sure the stem sits above the top of the fork. Now put the stem compression cap on and clamp it down till the race is seated, it shouldn't take much to do so. Just make sure to grease up the crown before put the bottom race on.