If I look back to my own schooling formal testing was a constant and integral part of school from the age of 5. Spelling tests, end of term tests, end of year tests. Nobody was bothered about them; parents didn't worry, teachers didn't worry and so neither we did we children.
We have in today's parents a generation that came through school during the the 1970s, 80s and 90s, a time when educational standards were dropping, when educational rigour and challenging children was considered inappropriate and any kind of testing was frowned on.
Certainly children today are learning grammar at an earlier age than we did, but for other subjects; history and geography they are learning less. But the school curriculum has always changed and been rebalanced from generation to generation. In my youth older people were deploring the loss of Greek and Latin from the curriculum. My aunt deplored my limited A level English syllabus compared with what she did for matriculation. But on examination the whole aim and purpose of the English examinations were entirely different.