Also, gold has not dropped nearly as much as BTC, in part because it didn't rise nearly as much in 2020 and 2021.
Gold on the other hand is a commodity with a real market use as a material, so you would expect it's price to go up when the value of currency goes down. But it's also subject to many market forces so it's price is not as simple as an inflation number. Any commodity material or product could be seen this way
BTC is just another crypto. It happened to be the earliest and most prominent, but that doesn't make it "best" (which is why so many others appeared). So when crypto crashes, BTC crashes.
The current crash has nothing to do with inflation, at least not directly. Crypto is crashing as part of the deflation of the "everything bubble", which may have been spurred by the supply chain crisis (including the war in Ukraine) that causes inflation.
Gold was a smaller part of that "everything bubble". It might be benefitting from the flight of dollars into commodities, but overall it's decreasing because of a decrease in the money supply as leveraged positions close and interest rates go up. (Which will eventually cause inflation to level off, though prices won't come down until the world works around the disaster in Ukraine.)
Gold does have some real world usage (industrial, jewellery etc). It is not as down as Bitcoin and will always have demand.
Because they aren't. They are subject to the same cycle as commodities and other assets.