Why exactly would the Fed care what the gold price is doing? There hasn’t been a gold link with the dollar since Nixon.
If gold was spiking with everything else then the Fed would have big worries since it would indicate inflation. But gold can be high for reasons other than inflation, which is certainly the case right now. Gold is likely in a bubble and if big holders need to get liquid gold is going to suffer.
Run a search on "Gibson's Paradox".