My older daughter is five, and just yesterday, she silently got the broom out of the pantry and swept the kitchen floor. Then she asked me to retrieve the dustpan for her since it was out of her reach. I sighed loudly. "I'll just do it," I said as I swept up the pile of dried peas and other assorted remnants from dinners past.
Disclaimer: I do not have children so everything below is based on opinion alone
If your child spontaneously does a chore without being asked but needs assistance in completing said chore, would your response be to "sigh loudly" and do it for them just because they aren't doing it right? I think the little girl deserves a reward and the mother needs an attitude check. When I was little, my parents helped/supervised us doing chores so as to ensure they were done the right way. If we did them wrong, we did said thing until it was completed to satisfaction. Children are impressionable and easily molded, I still do some things the way my father taught me to do them. All they need is time and guidance, not impatience because they are doing something "wrong".
And is it just me or is the image of the "Age appropriate chores for children" not age appropriate? On ages 4-5, one of the chores is using a handheld vacuum. The vacuum is going to be bigger than the child at this point! How is that "age appropriate"? Ages 8-9, change light bulbs and walk dogs? Depending how big of a dog you have, this might be a very bad idea. I'm 29yrs old, and I still don't change the light bulbs in my house just because my SO can do it easier, seeing how he doesn't have to get out a step ladder to reach the fixtures like I do.