Like everyone, I have an opinion based on experience and not on my preferences.
As far as accuracy = Bench rest shooters don't use fluted barrels because they feel that any chance of small differences in the barrel thicknesses and the possibility of irregularities no matter how minute, could effect harmonics. I personally feel that on a large over bored cartridge, fluting can effect the accuracy by removing barrel material. In the same contour, a fluted barrel is not as stiff as a non fluted barrel. The best rule of thumb, is that a fluted barrel of the same length and caliber Has the same strength as a non fluted barrel of the same "weight" (Normally the next size down).
I don't recommend having fluting done by anyone but the barrel maker so it has to go through his quality control before it is shipped and he warranties it. One reason barrel makers don't like others fluting there barrels is the issue of there quality. And the effect it may have on there barrel. There are many good smiths that can/do good work, but there are just as many that don't do good work.
(years ago before I started building rifles, I had a barrel fluted and it had to be the worst fluting job I have ever seen. And it grossly effected accuracy and the barrel had to be replaced. with the new Un Fluted barrel it shot sub 1/4 MOA. once the barrel was removed, I sectioned the barrel and actually was shocked at what I saw. It was much worse than it looked.
I really like the looks of fluting done right and have several that shoot very well, but being very cautious, I prefer to use non fluted heavy barrels on the big/powerful cartridges And have been successful with this philosophy.
Fluting does not save enough weight to take a chance of effecting accuracy just to save ounces.
You will have to decide if fluting is best for you or just cool.
J E CUSTOM