The races are not part of the forks or frame, so if those bits are giving problems, then remove them at least so they can be examined and the mating surfaces they sit on checked for corrosion or debris that might render them seating wonky. In my experience even the cheapest headset parts work fine if they are assembled square and lubricated, and I run some really ratty, well-used machinery. The Pioneer factory-installed stuff won't be high end, but Raleigh won't have used junk quality parts either.
Be aware that when you fit caged ball race bearings into a cup & cone appication like a headset or BB, there is a right way and a wrong way of inserting them. If you get it wrong the cages carry the loads not the balls and they will be very rough.