No, If you wish to have a higher withholding that was indicated by "Married but withhold at the higher single rate" you should select Single or Married filing separately.
Box 2(c) is for two jobs with similar pay, and it clearly states that you should do a W-4 for both jobs.
You're correct that if everything stays the same there will not be a change in your withholding status. If you do want to make an adjustment you should prepare W-4 forms for both you and your spouse.
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