If you wanna do a real gold<>btc comparison, in terms of rarity 1 BTC = about 10 Kilograms of gold, do people buy gold in Kg? Hell no, ounces, and there's about 322 352.74 of them in 10 kilograms. Even at a bottom of ~$1000 an oz, that's $322,000 $352,740.
Ahhhh, you might say, but gold is also a commodity... well BTC is becoming one. As the blockchain is going to become used for smart contracts, etherium like programmability, bitcoins are being consumed by proof of burn to envalue tokens to use with these.
FTFY - Personally, I am NOT sure about whether the value of gold is a reliable comparison point for the valuation of BTC because BTC has so many other uses, beyond the uses of gold, but then again BTC has a variety of vulnerabilities too - including the fact that a variety of entities seem to want to sabotage BTC or to steal from it through very new and modern technological methods (though similar things have been happening with gold from a bit of a different angle).
$352,740 per BTC would put market cap over $5 trillion, and surely that seems to be within reasonable levels of contemplation if BTC were to near the equivalent valuation of gold - depending on the level of competitiveness of various substitute value storage mechanisms.... including alt coins.
I am NOT going to hold my breath for $352,740 per BTC, but I might hold my breath for some smaller fraction of a price - maybe $3,527.40 per BTC within the next 1 month to 1 year (yes, since I am NOT a bot, I admit that I cannot hold my breath, even that long).