I can't find that anywhere in the hunting regs. Wild hogs are classified as big game. The only mention of rimfire ammunition is that it is legal for small game except migratory birds.
LEGAL Equipment
Deer, Bear, ELK and Wild Hog Hunting
1. Shotguns using ammunition loaded with single solid ball or
slugs. No restriction on number of rounds in magazine.
2. Rifles using any center-fire ammunition.
3. Muzzleloading rifles, handguns or shotguns of .40 caliber
(.40-inches) minimum. These muzzleloading firearms are legal
during any gun season or hunt unless otherwise specified.
Muzzleloading firearms are defined as those firearms which are
incapable of being loaded from the breech.
4. Longbows, compound bows, crossbows, recurve bows and other
bows drawn or held by a mechanical device.
5. Hunting arrows and bolts with broadheads shall be of a barbless design and shall have sharpened blades.
6. Centerfire handguns having a barrel length of four inches or
more.
7. Firearms and archery equipment may be equipped with sighting
devices except those devices utilizing an artificial light capable of locating wildlife. Night vision scopes are illegal.
No mention of using rim-fire on hogs during squirrel season. I believe there are other states which allows it.