I disagree with the cliche I really think it comes down to personal preference. as you can drop that excuse on any irrational decision. The Wby is obsolete technology. An economist would do a CBA (cost bennie analysis). What do they each cost (including the 338 edge)? You need to add in a trigger job and muzzle brake. With the Wby/Harley/Tubed amplifier you can probably get a guarantee of 1 MOA. With the Rem 700 you will probably get 1 MOA or better but may end up with a lemon (what is your risk tolerance?)
I love my APS 338 RUM (with #8 - 30" Lilja pipe, trigger job and QD brake). It's a real tac driver but cost more than a off the shelf RUM.
BTW, I am a tubed amp, Harley, Wby and liberal basher (full disclosure).