They are competing and while gold is currently winning (measured by market cap as a proxy for monetary adoption), Bitcoin has been eating its lunch for ~15 years and is catching up from that 1000s of years head starts pretty quickly.

Bitcoin is currently sitting right at its ATH vs Gold.

Inherent value doesn't exist.

All value is subjective.

Certain characteristics make different things better for monetary purposes. If you want to compare the monetary properties between the two, it's not close.