I'd be more concerned with the wobble from worn or improperly adjusted bearings front or rear. But as far as trueness, never really had one that caused an oscillation. For as little as it costs and how long it takes, Just get them trued. For the most part, they stay true, unless you constantly are jumping and bending rims. It's almost like the steering alignment with a car. Do it once, it stays aligned unless ball joints or whatever else wear out and are replaced. The worst I had a bike wheel untrue, it has that roll that just feels like there's a lump in one spot. 1/16 to 1/8 inch bothers me and that's with the bike turned upside down that it's most noticeable, but that's still rideable, but I will get them trued. Never regretted getting a wheel laterally & radially trued. My biggest worries there are what it may do to prematurely wear a hub & bearings out.