Pillar bedding began as a means to avoid the guard screws from crushing wood fibers in a stock. This is potentially problematic because a crushed stock won't hold the tensile load on the fastener and over a period of time it can result in reduced screw tension.
The problems associated with using a rifle with loose guard screws being pretty self explanatory.
Since then it has evolved into synthetic stocks as well and I think (am convinced) it has merit.
Again I resort back to the days of fiddling with smallbore guns used in ISSF and Olympic shooting. Rimfires are a fussy bunch and small differences in the guns mean potentially huge changes down range.
Most synthetic stocks are made well enough to tolerate the tensile load applied by a little 1/4-28 screw. The differences though can and do result in changes in how a smallbore gun shoots so for this game it's almost a given to pillar bed every stock. Since it certainly can't hurt to use this same philosophy in "big boy" guns it's also pretty common in centerfire rifles nowadays.
Regardless of what you do, make good and sure your screws contact in two places and two places only. The threaded hole in the receiver and the register in your trigger guard/floor metal/estucheon. If it contacts anywhere else all bets are off. The recoil lug is what is supposed to transmit recoil to your shoulder. The guard screws shouldn't and if they do you WILL have flyers.
Good luck.
