That isn't exactly right. If your chamber throats are correctly sized, then your bullet will be resting in that throat, and properly lined up with your bore.
In a perfect world, yes - but that depends entirely on the type of bullet, & cartridge OAL. I load a Keith style 265LSWC / .452", in Starline brass, for my 625-6 MG. This bullet is cast for me (by a forum member) from a BallistiCast mold. Crimp groove forward, it is approximately the same length as the RCBS 45-270-SAA bullet, & has a slightly more pronounced front driving band.
Brass trimmed to 1.280", the front band does not actually sit quite in the .452" throats, when chambered. Almost, but not quite...
I believe a heavier (280 - 300 grn maybe) LBT style, WFN bullet would actually sit in the throats, which if you think about it, would actually make sized bullet diameter EXTREMELY critical - for more then just accuracy & leading control. A .453" sized bullet, would not readily chamber, w/ .452 throats.
... If the rest of the chamber is oversized (as Ruger and Colt have been doing for years), then yes, that part of the case will be overly worked between firing and resizing, but still the round won't rattle around in your chamber as long as the bullet is seated in a proper throat.
As best as I can tell, the newer non-pinned barrel, mod 25 / 625 Smiths, have .483" ID cylinders - which I believe is minimum SAAMI spec. Case head (just north of the rim) of Starline brass, measures .476" OD. The Dillon sizer takes it down to .473" OD, just in front of the head - & .470" OD, at the mouth.
Now I'll grant you that .007" (at case head) is NOT a lot of wriggle room - but it AIN'T EXACTLY fire formed either. ;=]
Especially when you consider that the front driving band is not actually IN the throats.
I guess a guy has to be about half nuts to worry this much about dimensions w/ a 4" barreled revolver, but I've actually taken to backing my sizer off bottom 1 turn or so, to enhance cartridge /chamber alignment. Yeah, it actually helps.
I think the trick is, to get your cartridge OD as close as possible to the cylinder ID, with out excessively reducing neck tension on the bullet.