Well, K-1 can only be filed by US citizen and it will require proving US citizenship. This petition was approved, hence citizenship was established for I-129F but somehow was required again for I-864 when filing I-485.
What I'm saying it doesn't hurt proving petitioner's citizenship with I-864. If anything, it's benefiting. As other thread showed, RFE specifically asked for main petitioner's proof of citizenship. I-864 instructions also call for evidence to be provided:
"For U.S. citizens or U.S. nationals, a copy of your birth certificate, passport, or Certificate of Naturalization or Citizenship. "
Source: https://www.uscis.gov/i-864
It's strange to hear advice not to include something that has to be provided as per instructions?