I wouldn't mind it, provided your hypothetical anchorman had good grammar and pronounced things correctly, and neither one of those requirements has anything to do with a person's accent.
Y'know...maybe someone like FoxNews anchorman (Shepard Smith--a Mississippian and another counterexample to your earlier statement).
Maybe you would not mind but the rest of the country would. Since when do rednecks have proper grammar or pronounce anything correctly? They can barely speak English.