Compressors shouldn't be used with an edge of break-up tone

Compressors normalize input levels. This is counterproductive to achieving an Edge of break-up tone where the goal is to be able to transition between a clean and over-driven tone depending on how hard or soft you're playing--in other words, depending on the input level.

A compressor is often not needed anyways because Clipping is a form of compression.

Related: Can you compress in the output stage of an amp

References

Shull, R. (2021, September 10). Is This The “Perfect” Guitar Tone. YouTube.