I have a rim I've taken twice to the LBS to get trued. All manner of wobble and my brakes would surge when braking at faster speeds, especially downhill.
In the end I bought a new rim and just set this one to the side, and as expected my problems went away.
I just bought a Park Tool Truing Stand and of course that was the first wheel I threw on the stand. For the most part it wobbled side to side (laterally) only a little but there was discernible wobble.
What was really out of control was how out of round the wheel was. Obviously the LBS was only checking the lateral movement.
This rim is so out of round as to not be funny. I'm definitely getting a remarkable improvement on the wheel but I was working on the floor. Later I'm going to buy a small wooden table or bench to mount the truing stand on so I can work on the wheel while standing up. I know it'll be much easier to do the wheel truing when I'm not fighting ergonomics.
Another reason why I'm glad I'm teaching myself to do all this myself as it's obvious the only person who'll do it to my satisfaction is me.