ETH is dying because it was pumped and it is a centralized shitcoin, it has nothing to do with bitcoin going to $5k.
as you have already seen for the past week bitcoin has stayed between $6000 and $6400 (5% up and down) while ETH has been falling down from near $400 down to $250 (40% drop) and it will continue because now the bag holders who have been holding from $1500 but still were hopeful for getting rich are now panic selling.
at this point the only reason why bitcoin could go below $6k is that if a huge altcoin dump happens which brings bitcoin price down as money exists using bitcoin or ETF is rejected. there is no other reason.