re: 1/14" twist
It may suprise you. I have shot up to 55gr bullets from a 1/14" twist .22Hornet. It shoots them just fine (under 1" at 100yds). But, I was using Sierra and Hornady flat-base bullets. I doubt that you'll get good results with a boat-tail plastic tip bullet over 55gr however. (I don't). The Nosler isn't that pointed or any longer than most other 60gr bullets. However, for my use (deer), I've found that the 60gr Hornady's PtSpt work most splendidly. I've only recovered one, and it penetrated ~20" of deer and was just under hide in a 38gr perfect mushroom. (76% weight retention; 2800fps launch speed, 40yd shot).
My .22-250 shoots up to 64gr (Winchester) and 63gr (Sierra) semi-pointed ammo to around 1/2" at 100yds. It too, has a 1/14" twist.
However, I don't think you "need" a 60gr Nosler for any concieveable use of the .222 to include deer. But nothing wrong with them either. My best friend shot many, many deer with his .222 (a Thompson-Center Contender carbine) to include both his daughters killing their first deer with the little T/C using 50gr Winchester factory loads
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Indeed, Win748 and BLC2 will be splendid in the .222. Joyce Hornady printed in an older manual I have that at the Hornady factory, they used 25.0gr of BLC2 in a .222 for many years to test production runs of .22 bullets. Frequently got 1-hole groups at 100yds.
fwiw; my 1/14" .22-250 shoots "patterns" with 55gr V-max and usually misses target at 100yds with 60gr V-max. However, with 55gr Sierra BtSpt has shot 1-hole 5-shot groups (in the "3's").
It just depends on the bullet and the rifle.....