Yes, the 32-44 is centerfire----as is its stablemate, the 38-44---the ONLY two calibers offered in the NM #3 Target version numbered from 1 to 4333---if you don't count the occasional odd-ball such as #3914 which letters as NM #3 Target---and has "38 WINCHESTER CTG" stamped on the barrel.
All such as this is explained by Doctor Jinks' oft repeated statement, "They would do anything anybody would pay them to do."
And not only would they do that, it clearly was no big deal---that witnessed by the fact the letter (factory records) can't confirm the caliber of #3914. This state of affairs is explained in the letter thus: "There are no notes in the records on this revolver. It appears to have been a special order for one unit-----."
One thing we can probably be sure of is whoever ordered it paid for it---in advance!! Although, given it was shipped to Iver Johnson Sporting Goods Co. in Boston, it's better than an even bet they did business on an open account.
So here is yet another example of why we should never say never or always about anything S&W did or didn't do-----'cause somewhere, there's something to prove us wrong---again!
Yet another example of that old saying: "The hurrieder I go, the behinder I get!"
Ralph Tremaine