Why so (a precis will do!)?
QL owner, just sayin'
For full bore target rifle (up to 1000yrds) I'd choose a barnard, because of the ease of operation. Three lug bolts are easier to open. If the tolerances on any four lug action, swing, churwick, paramount, RPA, aren't great they get can stiffen up over the course of a shoot.
Beyond 1000 yards, a more robust action such as the Quadlock Octagonal is beneficial.
As Hitchphil says, Quadlite is perfectly good (although for Match Rifle and F-Open I would still go for a Quadlock instead). The lite is purely a name, its not a girls action. It is in fact 90% or so a copy of the Rem700 but with a four lug bolt.
BAT is a lovely action, all stainless steel, polished, imagine a Rem700 bolt in a quad lock body. Integral picatinny rail.
I'd avoid swing, paramount and musgrave actions as the spares are dwindling.
(These my unbiased opinions, based on things I learnt working for System Gemini and RPA )