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It's possible to skip it. However, I'll suggest going through the steps in the sequence that Oracle provided. Keep in mind that step 23 does some validation that may very well depend on validating all the invalid objects mentioned in 21. I also think that Oracle would have but option and or moved the task of validating invalid objects to 31, instead of leave it at 21. My 2 cent.
It's possible, but not recommended. The recompile is a parallel process that can take advantage of multiple CPUs on your server.