Would it be better for a hearing parent who barely knows ASL to try to use her poor ASL ability with a young child? Is SEE considered easier for a hearing English-speaking person to use? How difficult is it for a child to transition from SEE to ASL?
It might not be an exact analogy, but I'm thinking a bit of my dad's experiences as a child. His parents spoke only Italian at home. So when he started school, he barely knew any English, just a few words that he had picked up from playmates.
He said he had to learn English in a hurry when he was in kindergarten. However, that meant that the English he learned was correct English, not the barely-intelligible bit of English my grandparents knew. By the time he was 7, he was fluent in both languages.
What good would it have done him if his non-English-speaking parents had tried to "speak English" at home when they only knew a few words, and spoke even those with a strong accent?
So - maybe I'm wrong here, but if a hearing parent can use SEE easily, wouldn't that give a young child more access to language than a poorly-done version of ASL? Wouldn't it be better to learn ASL correctly, once the parent learned it better also, or when the child can learn from an ASL-using teacher?