Wrong. Some banks, and with certain account types, the bank will absolutely make a courtesy call to you if something unusual is happening.
I had a call from my bank while spending a few hundred on cocktails in Bali (I'm from London), I hadn't used my card yet on that trip as I'd taken cash.
They also called me to check a payment into my account with an "unusual" reference; a joke from a friend returning the money he owed for a holiday I paid for, but which made it look like he was paying me for "special services".
They called me to query a payment at a home furniture store for a couple thousand pounds in a city ~300 miles from where I live only hours after I'd used the card near home; I'd driven to this particular store to check out the furniture.
If you're not sure, the _real_ bank will suggest you hang up and call their number found on your card or their website (or in your contacts list, where I keep it) and will never pressure you to answer or provide them information, and they'll NEVER, EVER ask you to read a security code out to them sent to your phone, or using your banking app.
EDIT: To further clarify; my particular bank's app, has, on rotation, a series of warnings, displayed each time I log in, saying things like "BEWARE; if someone [calls/texts/etc] asking/telling you to do [XYZ] ...", e.g. to get this code or that code, or do something else in this app, you're being scammed, "WE WILL NEVER ASK YOU FOR [XYZ]...".