One point I haven't seen mentioned is, what is the point of cleaning a gun ?
I can think of several: improve accuracy, improve funciton, to provide protection from rust and corosion.
So when you clean you .22LR, what is the reason you are cleaning it ? Is it malfunctioning ? Have you noticed a drop off in accuracy ? Are you having a problem with rust ?
If so, there is a valid reason for cleaning it.
If you don't have a good reason for cleaning it, then why are you doing it ?
In my .22s I clean them when I have a reason to do so. This almost always means that it is one of my semi-autos and I am starting to have malfunctions. Otherwise I leave them alone. If they continue to funciton and shoot accurately then there is no reason for me to clean them. Rust is not an issue for me as I live in the desert.
I have bolt action .22s that I have never cleaned. I had a Remington Nylon 66 when I was growing up that I shot over 10,000 rounds of ammuntion in and never cleaned it once (my dad bought me two cases of ammo, so I have a pretty good idea of how many rounds were fired). In my .22 revolvers, I usually clean them after 550 rounds. This isn't because they need cleaned, but I might only shoot 550 rounds out of them in a year's time (I have a number of them). So, since I am going to return them to the safe for maybe a year, I clean them. Most of my autoloaders begin to malfuction after several thousand rounds, so I clean them.
I personally don't see any reason to ever clean the bore. Note that most shooters consider cleaning the bore to be cleaning the gun. When the subject of cleaning comes up, they immediately think about running patches and brushes therough the bore. I consider that action on a semi-auto to be FAR more important than cleaning the bore and this includes centerfire semi-autos.