I believe Bitcoin is not actually created to make transactions with complete anonymity nor either traceable by the government, it's just to eliminate the middle man and still Bitcoin is capable of doing that.
Almost
any digital currency architecture will "eliminate the middle man". Services like PayPal have been around for 15 years before Bitcoin--and PayPal is today far cheaper and faster than Bitcoin for a transaction.
Blockchain was a complicated solution to a very complicated problem--but it's a problem not many people actually have.
Technically PayPal is holding the money not by yourself so it's no different from the traditional banking system but it was the beginning of digital payment era when people found that it's easy to make payments with PayPal than going through the banks and their complicated processing for every transactions.
Here you use the blockchain which is not just limited to cryptos so better use the term crypto.