Are we talking ultimate wish list, or reality? My .308 is a Remington and I'm satisfied with it, but then it's a $500 rifle. If you have more like $5,000 to spend, the discussion gets much more esoteric.
I have noticed one discrepancy with the precision rifle crowd. First, they tell you to buy a Remington 700 as a first rifle because it's the standard for custom projects. The explanation given is usually something about all the aftermarket goodies available for the Rem, long history, good resale value, etc. Then, when you do plan a custom rifle, those same people will tell you not to spend all that time and money on a Remington. They'll recommend something more exotic like a Surgeon. I understand the thinking behind it all, I just find it comical.
When my current barrel finally succumbs to wear, I will spend my money upgrading the one thing that really matters to accuracy, the barrel. I'll probably not screw around with truing or blueprinting the action, I'll just put my money where it will do the most good.
I have to admit that a number of the Savages I've encountered shoot pretty well. I have a knee jerk negative reaction to them, but I think that's just brainwashing. I wouldn't fault anyone for deciding on a Savage, but I might not spend a lot of money upgrading one.