This annoyance I have described happens with default camera on some androids. Of course, I can accept that it does not happen on all of them: both hardware and software can be very different on various Android phones. It's just an example of how well thought-out Android can be.
Maybe, there are camera apps out there which work better than default camera in this respect. But I haven't installed much apps from 'outside', yet. Would installing a new camera app remove/replace the default camera app? Because it would be confusing if there were two camera apps installed at the same time: one default, and one from somewhere else.
Thank you for the hint that there are other cameras out there. Best wishes.