Question on fees

Hi guys!
I am new to crypto and anything related. I wanted to get started and made a Binance account. I want to buy some Ether and withdraw it to a Metamask wallet on the ethereum mainnet. I saw Binance takes a 0.00625 Ether fee (about $16.50) to withdraw. I looked around for a bit and stumbled upon this site: https://bridge.umbria.network/bridge/polygon-ethereum/eth . According to this site I can bridge 0.1 Eth from polygon to Ethereum and recieve 0.0985 Eth. This makes it a 0.0015 Eth fee, or about $4. The Binance fee for withdrawing MATIC is 0.1, or about $0.14. So can't I just withdraw MATIC from Binance, swap it to Weth (pretty much without cost) and then bridge it to Ethereum? Am I missing something that would make this not work?

Thanks in advance!