Re: contour and accuracy
Since you are asking a hypothetical question, the answer is Yes, No and Maybe.
Yes, To expound, a light barrel will be fine for 3 or 5 shots, spaced out over 5 minutes, and should shoot right with a heavy barrel. That why light barrels are use for hunting, as shots taken are few, usually only one.
No, if you intend to shoot a string, like 5 rounds in under a minute, then a light barrel will heat up and walk the shots. So a light barrel will not shoot as well as a heavy barrel, under time limits.
Maybe, Since you don't say how light a barrel, compared to how heavy a barrel, it's hard to qualify. I would expect a light Palma match barrel contour to shoot with a say a heavy Palma, for a while. Light and heavy here have a different context.
Of course if you want relatively light weight, with reasonable stiffness, you can have that heavy barrel fluted.