For real?? I've never heard of this. (NEVER scrub the barrel on a .22. There is no reason to do it and you will only do harm) What's the basis for this?
Well, despite what some folks may claim, it's essentially impossible to cause damage to a .22 rimfire bore by not cleaning it. Unless you've gotten into some extremely funky ammo, the bore of a .22 will have only a slight amount of (non-corrosive) fouling suspended in a uniform coat of (rust preventing) wax. It can be left indefinitely without fear of damage.
So the only real reason to clean the bore is if accuracy deteriorates. In many guns, this simply never occurs. A smooth bore, in conjunction with good quality ammo -- ie.
not the bulk pack stuff you picked up at Wally World -- will be "conditioned" by the first few dozen rounds and then after will remain in that same condition forever and ever. Each round scrapes out a bit of fouling and wax and replaces it with the same type and amount of fouling and wax. So if accuracy is unaffected and the bore is at no risk of damage, why would you clean it? At best it will have no effect, and at worst you will damage the barrel with that chintzy jointed aluminum cleaning rod Wally World threw in with the cheap ammo. Realistically, all you'll accomplish is to "decondition" the barrel, meaning the gun won't be accurate until after you fire a few dozen more rounds through it. And the point was?
Now, a lot of .22s will start to show deteriorating accuracy after a few dozen/hundred/thousand rounds and so will benefit from a bore cleaning. They only way you find out if this is true in your particular gun is by finding out if this is true in your particular gun. Which is why I think both the "Never clean the bore!!!" and "Always clean your bore!!!" camps are, generally speaking, wrong.
HTH!