The S&W Model 53 revolver is bored for .22 rimfire size bullets, .222 diameter. Mine was manufactured in the first year of production, 1961. The last revolver was made in 1974.
Hornady reports the TC barrel is bored for .223 or .224 bullets. Well, maybe it is, but knowing is everything, guessing is nothing. I have no problem shooting a .224 diameter jacketed bullet in a Hornet size bore, but I'm not interested in shooting one through a bore that is two thousandths undersize.
In this case, the bore matters.