Not according to
https://www.binance.com/en/fee/cryptoFee. Ignoring their scam chains, the withdrawal fee for "Bitcoin" is 10,000 sats, while the withdrawal fee for "BTC(SegWit)" is 50,000 sats. As if paying 10,000 sats for a withdrawal which costs Binance 100 sats wasn't bad enough, for some reason they charge 5x more for a cheaper segwit withdrawal. Fees this high are to prevent people from withdrawing coins and therefore let Binance continue to run their fractional reserve scam. And of course as BHC points out, if you do actually withdraw your coins then >99% of the withdrawal fee goes straight in to Binance's pocket.
I did not know that Binance has done this kind of a thing before. Segwit fee is almost twice as low as legacy fee, but Binance make it the other way. If more people have been using segwit when that was done, I think that is what they are trying to do, they know more people are using segwit and more fee the Binance will earn.
Their made-up "wrapped" tokens even get "market cap" and with that, pretend Bitcoin's market cap is lower than it actually is. What if I take 1 Bitcoin and wrap it 1 billion times? My market cap will be $30 trillion!
According to what I read, the coin is not just pegged in price, but collateralized, they bought bitcoin for it and they have it in their reserve. They reserve and mint the token which are altcoins. If they buy bitcoin and mint the same amount of token, that will increase bitcoin price and marketcap appropriately.
But the problem is that many people do not know the main bitcoin from the fake ones on Binance and many other exchanges, they will think they have bitcoin, not knowing they have altcoins. If anything worms happen to those BEP2 and BEP20 chain and people list their, bitcoin holders will not lose, but those that hold those altcoins that they thought are bitcoin will all lose.
My advice: avoid any exchange that feels the need to create their own "token" to increase their own profit. Just like you should avoid any exchange that overcharges you on withdrawals.
I trade and I use many exchanges. Out of tens of exchanges that I have used, I still have five active ones which are Bybit, OKX, Kucoin, Binance and Huobi. I noticed how Binance manipulate to favour itself. Example is when Binance user deposit altcoin pegged with bitcoin and other coins on BEP20 chain, the confirmation is fast and you can use it to trade immediately olto open position in derivative market, unlike the main coins (not only bitcoin) which they can delay for almost 10, 20, 30 or more minutes, they do it for altcoins that can confirm almost instantly too, they delay them with many confirmations required and reaching certain confirmation before it is unlocked. The one that occurs to you people which are the fake bitcoin that you are talking about, it is more than that, but this is about bitcoin, I will not explain further. Out of all the exchanges, Binance manipulate the most and having what are centralized. It has its own stable coin which is BUSD, two chain which are BEP2 and BEP20. Traders traders just have to be wise for the wrong approach Binance is using, but the liquidity on the exchange is good. Other exchanges that I have mentioned too are good, they are my best pick before they started to make KYC compulsory one by one. This year alone, Bybit, OKX and Kucoin has made KYC mandatory.