My guess is you've seen
Vitti's guide on making falle style wrenches using salt water etching, which actually works well for its purpose.
The problem is, especially if you're making thin lines, that the etching will tend to crawl under the protective layer and can be a bit unpredictable.
If youre using thin stock, is there any way you could use a dremel and cut off wheels to get the right result? The brown disks are pretty thin if you use them singly.
If you could make some kind of jig so you get the lines really straight it might be your best bet.
This really isn't my forte so I may be well off.