In fairness, I think the OP meant short-term coupling - or at least should have. There has been a distinct correlation for over a year now, even if overall in Bitcoin's 12 year history there is very low correlation.
Actually the S&P also reached a bottom in March 2020 during the covid crash and recovered similarly to Bitcoin, even if it reached ATH a lot sooner than Bitcoin did.
But I'm otherwise not denying your point that these so-called correlations are always short-lived, and if anything Bitcoin is un-correlated generally speaking.
This is where the correlation appears it seems it's true
For example even Gold that should have been considered a safe haven during the covid dump suffered just like everything else. There was no logic to a lot of the sell-off in reality.