If the fiat is weakening then the price of BTCitcoin will move up and i am not sure whether that is what happening here but the price already tried to breach $60k but did not sustain it and we might see another push in the coming weeks.
It is not because effects of inflation (fiat losing its value) on bitcoin is only visible in the long run not in the short term fluctuations in the market. Also it will only be part of the reason for the rise, for example when bitcoin goes up 100%, 5% of it could be because of fiat inflation. Depending on the fiat and how soon the big inflation hits us the percentage can change.