Sure the rifle plays a part. There is a reason there aren't many 10/22s on the list, and that ones that are seem to be heavily modified....
There's also only one Remington 597 on the list... and the only mod it required was a match grade barrel, challenge completed with the stock, creepy, 5# trigger and all other components factory stock.
You can think what you like about the shooter's role, but it cannot be denied that the rifle is primary. Simple logic proves it. Good rifle + good shooter = success, good rifle + poor shooter = possible success or failure. Bad rifle + good shooter = failure, bad rifle + bad shooter = definite failure. Nobody can succeed with a poor rifle, but only a poor shooter will fail with a good rifle, therefore the rifle is the most important factor. Yes, it is up to the shooter to live up to a rifle's potential, but I will place money down on the fact that the majority of shooters do not have their rifles tuned to their peak performance capabilities.
Very few shooters use tuners on their rifles, and the limited selection of ammo, and lots of ammo, here in Canada exacerbates the situation for those striving towards ultimate accuracy. As an anecdote, in my conversations with a member on RFC, he had to test 20 lots of RWS R-50 to find only 2 lots suitable to his rifle without a tuner. Know how many lots of RWS R-50 are available in Canada right now? 1, at Target Shooting Products (Unless Tesro has received some stock of a different lot recently). We don't have an easy road towards accuracy here in Canada, that's for sure.