Phishing and other things were a large attack vector until 2FA mostly did away with it.
In the US, it isn't. On the off chance that the capability is there, it's seldom used. You make transactions by telling the other party your account number.
In the country where I live all internet banks supports this. And all of course use 2FA. Most if not all banks here let's me do any kind or transactions. Not just viewing my data but transferring money, buying stock, setting up new bank accounts, pension management and everything else.
Maybe it's the lack of security at your place which prevents useful functionality.
If someone would hack my online banking account they could do quite a few nasty things...
What year is this, 1997? Is this normal in the US? I'm beyond amazed. Using online banking for transferring money is such a normal activity here (has been for at least 10 years).
If theft through online banking even exists, it's at such a low volume as to be irrelevant. Most online banking interfaces are a read-only view of recent transactions. Some provide the ability to transfer funds between your own linked accounts at the same bank. Fewer still provide bill pay for a specific set of partner institutions, and a tiny proportion of the most technologically sophisticated banks provide the ability to transfer money to any arbitrary person. When they do, adding a new payee is loud (sends a bunch of notifications) and requires SMS verification and/or digits off your debit card. The transfer is loud and takes several days to actually happen (so you can cancel it), and is limited to a couple thousand dollars at most. This is a fringe thing that a handful of people use occasionally. Most peer-to-peer transfers are going to happen through Venmo, which piggy-backs off a debit card, or through paper checks. Most online bill pay is going to happen by giving the biller your account and routing number.
The largest vector by far for stealing from a bank account is capturing a debit card number in some legitimate transaction, and reusing it to make fraudulent transactions. The strength of the communication channel between payer's bank and payer is irrelevant, because you don't get to weigh in on debit card transactions (or checks) against your account. They just happen, and then you can dispute them later.