As I usually swage bullets from raw jackets and lead cores, I rarely have a need to resize existing bullet to a smaller diameter. I do sometimes repoint Spitzer bullets to RN, and it doesn't overly affect accuracy. ( this repointing doesn't work in all circumstances. A lot depends on the caliber, the origenal ogive, and the final ogive.) Some who have studied resizing bullets, and making reduction dies, state that under the majority of cases, a reduction of up to .005" is quite OK. If the jacket has been annealed there will be less springback. of course, and some jacket metals spring back more than others, but as a general rule, a .005 reduction is a "safe bet". Remember, even if a bullet is being reduced .005"d, the 'squeezed' core material has to go somewhere, so you'll get a deformed nose. Lead doesn't 'spring back', but it flows . It may need repointed.