A diagnostic scan is the first place to start.
Usually this hunting is caused by a vacuum leak. The vac lines will have become quite brittle over the years and crack or break easily.
Leaks are likely at junctions.
The brakes work from the vacuum system so while you are stopped with foot on brake the vacuum will drop the revs will up to compensate and the cycle goes around.
When AC is on the engine runs at a slightly higher rev so the vacuum is adequate.
If it was a GTI I could tell you exactly where to check for leaks, my GTI got about 3 over the years
but sorry not sure on the SR model.
MK4 GTI - Sold
MK5 Jetta Turbo - Sold
MK5 Jetta 2.Slow - Until it dies.
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