There are plenty of semiautos that will outshoot plenty of bolt guns. Being semiauto doesn't make a rifle inherently inaccurate, and being a bolt action alone does not bestow tack driver status. I've also had a couple of stock 10/22s that shot lights out, specifically my very first 10/22 I bought in High School in 1975. It just had a really good factory barrel.
These broad generalizations about semiauto versus bolt are just not true; there are always plenty of exceptions. I had an Anschutz 1712 that shot mediocre groups with all types and brands of ammunition I tried, and I have owned and shot many customized 10/22s that shot exceedingly well. And a custom 10/22 is not the only accurate semiauto, either. I have a re-barreled Browning SA that shoots lights out, and a dead stock Unique X-51 that will also clean up and take names. If you plan to shoot competitive rimfire benchrest, a bolt gun is most likely your only choice (and not an off-the-shelf bolt action), given the tight chambers that are usually not compatible with semiautos, but, short of that lofty sport, tuned semiautos can often compete with even tuned bolt guns.