I tried doing that with Citi and it was no goI put a freeze on Experian. Chase and Amex will always pull Experian for me so I have to give them the temp pin to access my report. Citi would actually pull both Experian AND Equifax for me but with the freeze they didn't seem to care/notice thhat Experian was frozen. So just Equifax for Citi post freeze.
I'm based in NYC btw.