I don't think there was an Sniper preference. Have not read of it. Winchester has not struck me as better built that Eddy or Remington. They are more rare so get some attention from that standpoint as well as jumping the gun so to speak.
All the mfgs build the same gun to the same specifications.
Sometimes you get a bias based on the samples you have seen that really does not apply across the range of them.
I am attracted to Remington for some reason but see no difference between that and the Eddystone or Winchester. Only the stock were different between the thee and that all had to do with grip grove and bolt cutout, not the inners.