Moving BTC to cold wallet over Binance
However, if you do the withdrawal over their Binance network then the fee is only 0.0000014 BTC (a mere fraction!)

This transaction will involve withdrawal of a token on other chain. This token is not same as BTC. I have explained few things in this answer: https://bitcoin.stackexchange.com/a/100838/
Those options available for BTC withdrawal are misleading but there is nothing much we can do about it. I tried my best by creating a question on Stackexchange, sharing on Reddit and ask few people to tweet about it. Not sure what else can be done for the misinformation, marketing, misleading things etc. by altcoiners in this ecosystem.