Kids should know how to spell their name by age 4 and definitely by 5 barring some kind of learning disability. Typically kids go to kindergarten with some knowledge of letters and writing. They do not need to know how to write pretty much anything else besides their name though so the writing curriculum you pulled isn't really applicable to just their names. Most kids are taught the letters and phonics of their names from a very early age and is the entry point into writing.

edit to add: I agree tho this post is BS lol