It seems to me that the higher end accurized M-14/M-21ish/M1As have often been considered right up there with bolt actions of the same caliber. Similar to PSG-1. Certainly close enough to be called precision. I'd certainly assume that a well accurized AR would achieve that level as well.
We never really liked semi auto rifles too much in this country. Add that our NRA didn't adopt them in 67 when the military finally withdrew the last .303's from service. They did keep some No4 action Enfield rifles in service, as the L39 target rifle, and L42 sniper rifle, formally the No4T, both rebarreled and chambered for 7.62×51 NATO. They did the same for some BREN guns too, as the LMG. So since that time the bolt action guns have dominated the ranges. Of course the post Hungerford ban on semi-auto centerfire rifles finally killed of any chance of our using accurised semi-autos.
I think I have also suffered, in a good way, from belong to clubs with a high proportion of top level shooters. When you are shooting against the person that has won more Commonwealth Games medals than any other athlete in your club championship, it pushes you to up your game. Having his coach at the club too helps too of course. When you are around these sorts of people a lot your expectations do tend to rise. Getting into smallbore BR didn't help either.
A couple of old ones from the range.