And my point was...it depends on how the manufacturer sets up the spec. You have peak instantaneous/short term output (like the old hondas) vs continuous rating (like my old yamaha).
If the generator is rated on continuous output, a 3000w generator will outdo a 30amp pedestal because the peak rating is typically 20-30% higher.
Reality is this is mostly nitpicking because if it can kick the compressor over, you are generally good to go as no one is or should be pulling 3600w continuously with a 30amp rig (30amp outlet is only rated for 80% continuous). If you are lucky, it will just pop a breaker trying to pull 3600w but it's easy to burn things up in the process.