No, they still want to move quick, and you can do that by relying on the change signaling of your vendor: if you know the vendor is trustworthy, you can deploy minor updates with only minimal testing. If the vendor is unreliable or doesn't signal their changes accurately, every "minor" update becomes a liability, and that's where it gets slow.

Companies that want to move quickly should not use unreliable vendors.

It is possible to move fast and NOT break things.

Breaking things is bad. Despite what Mark says. When you break things companies lose customers, they lose money, they lose market share, and people get fired or die.