Both of the throating reamers I've rented from 4D were solid pilot and were used by hand, all three 45-70s and the 35 Remington are very accurate, so I guess it just depends on how well the reamer pilot fits the bore and how careful you are doing the work.
Since you're ordering the reamer, you may be able to specify the pilot size to fit your bore.
FWIW, I've rented a few chamber reamers, all reamed by hand, all but one had solid pilots, all barrels, except the 460S&W which has only been to the range once, shoot good to excellent, the one reamer that had a floating pilot, a 270 Improved, is just as accurate as any of the others, specially considering the bore is .2795" and I shoot .284" bullets in it which is the only load I've worked up so far.
The 357Max reamer that has done
49 90 rechambers so far has a solid pilot, not one member has complained about accuracy yet.
Tim