That definitely happens with the Windows 11 update screen my wife keeps getting on her laptop. When the device boots, it appears to have already started the installation, but it's just a fullscreen advertisement to install Windows 11.
Yes, it continues to prompt occasionally afterwards.
They have a bunch of these things that get prompted periodically even if you said no initially (like things on install/upgrade). SOME of them only come back once. But Microsoft dynamically chooses what to push on people so that can change at any time.